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	14910bc	Isogeny class
Conductor	14910	Conductor
∏ cp	46	Product of Tamagawa factors cp
deg	35328	Modular degree for the optimal curve
Δ	4690280448000 = 223 · 32 · 53 · 7 · 71	Discriminant
Eigenvalues	2- 3- 5+ 7+ -5  5  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4596,-59760]	[a1,a2,a3,a4,a6]
Generators	[-24:204:1]	Generators of the group modulo torsion
j	10736671807326529/4690280448000	j-invariant
L	7.8736982862451	L(r)(E,1)/r!
Ω	0.60349558325809	Real period
R	0.28362652320457	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	119280bi1 44730s1 74550t1 104370ct1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910bc1

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	5	0	1	-7	0	5	-5	7	-9	0	-4	2	-8	-12	+	11	-3	2	-6	2

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Quadratic twists for elliptic curve 14910bc1

-4	-3	5	-7
119280bi1	44730s1	74550t1	104370ct1

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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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