Cremona's table of elliptic curves

1435 = 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	5- 7- 41-	Signs for the Atkin-Lehner involutions
Class	1435d	Isogeny class
Conductor	1435	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	5544	Modular degree for the optimal curve
Δ	-339172066835 = -1 · 5 · 79 · 412	Discriminant
Eigenvalues	2  3 5- 7-  3 -5 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-1777,-40205]	[a1,a2,a3,a4,a6]
j	-620563168014336/339172066835	j-invariant
L	6.453504418406	L(r)(E,1)/r!
Ω	0.35852802324478	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22960p1 91840k1 12915k1 7175c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1435d1

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
2	3	-	-	3	-5	-3	-6	-2	9	0	6	-	-8	-13	-12	8	14	-2	0	6	17	-8	6	-3

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Quadratic twists for elliptic curve 1435d1

-4	8	-3	5	-7	41
22960p1	91840k1	12915k1	7175c1	10045e1	58835i1

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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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