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	-13671875 = -1 · 59 · 7	Discriminant
Eigenvalues	0  1 5+ 7- -3  5  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-131,-650]	[a1,a2,a3,a4,a6]
j	-250523582464/13671875	j-invariant
L	0.70291123913491	L(r)(E,1)/r!
Ω	0.70291123913491	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	560c3 2240m3 315a3 175b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 35a2

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 35a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59
560c3	2240m3	315a3	175b3	245c3	4235b3	5915f3	10115g3	12635a3	18515i3	29435c3	33635b3	47915c3	58835a3	64715e3	77315f3	98315i3	121835c3

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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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