Cremona's table of elliptic curves

35 = 5 · 7

Field	Data	Notes
Atkin-Lehner	5+ 7-	Signs for the Atkin-Lehner involutions
Class	35a	Isogeny class
Conductor	35	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-35 = -1 · 5 · 7	Discriminant
Eigenvalues	0  1 5+ 7- -3  5  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1,0]	[a1,a2,a3,a4,a6]
j	-262144/35	j-invariant
L	0.70291123913491	L(r)(E,1)/r!
Ω	6.3262011522141	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	560c1 2240m1 315a1 175b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 35a3

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
0	1	+	-	-3	5	3	2	-6	3	-4	2	-12	-10	9	12	0	8	-4	0	2	-1	12	-12	-1

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Quadratic twists for elliptic curve 35a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59
560c1	2240m1	315a1	175b1	245c1	4235b1	5915f1	10115g1	12635a1	18515i1	29435c1	33635b1	47915c1	58835a1	64715e1	77315f1	98315i1	121835c1

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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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