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	14910r	Isogeny class
Conductor	14910	Conductor
∏ cp	110	Product of Tamagawa factors cp
deg	443520	Modular degree for the optimal curve
Δ	2.3966031544474E+19	Discriminant
Eigenvalues	2+ 3- 5+ 7- -5 -1 -4  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-828944,169957982]	[a1,a2,a3,a4,a6]
Generators	[168:5869:1]	Generators of the group modulo torsion
j	62993905739678382344569/23966031544474158720	j-invariant
L	3.7803169171959	L(r)(E,1)/r!
Ω	0.19439478438225	Real period
R	0.17678724014259	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	119280bd1 44730ck1 74550bv1 104370u1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910r1

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
+	-	+	-	-5	-1	-4	5	-1	-4	1	5	3	1	0	8	2	0	8	+	-7	13	-14	6	2

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Quadratic twists for elliptic curve 14910r1

-4	-3	5	-7
119280bd1	44730ck1	74550bv1	104370u1

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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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