Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 71+	Signs for the Atkin-Lehner involutions
Class	14910a	Isogeny class
Conductor	14910	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1827840	Modular degree for the optimal curve
Δ	5.7033277506939E+22	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  1 -7  4  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10747298,-7207518348]	[a1,a2,a3,a4,a6]
Generators	[-22746287:981302602:12167]	Generators of the group modulo torsion
j	137284544981443275189621289/57033277506938880000000	j-invariant
L	2.3980226363717	L(r)(E,1)/r!
Ω	0.08650398629843	Real period
R	13.860763757746	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	119280ce1 44730ca1 74550dh1 104370bv1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	+	+	1	-7	4	5	-3	0	7	-3	-7	-7	4	0	-6	4	0	+	9	-3	-14	14	-18

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Quadratic twists for elliptic curve 14910a1

-4	-3	5	-7
119280ce1	44730ca1	74550dh1	104370bv1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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