Cremona's table of elliptic curves

70 = 2 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	70a	Isogeny class
Conductor	70	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	5468750 = 2 · 58 · 7	Discriminant
Eigenvalues	2-  0 5+ 7+  4 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-88,317]	[a1,a2,a3,a4,a6]
j	74565301329/5468750	j-invariant
L	1.1803043465577	L(r)(E,1)/r!
Ω	2.3606086931153	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	560d3 2240f4 630e3 350a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 70a4

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	+	+	4	-6	2	0	0	6	8	-10	2	4	8	-2	-8	-14	-12	-16	2	-8	8	10	2

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Quadratic twists for elliptic curve 70a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
560d3	2240f4	630e3	350a4	490h3	8470h3	11830l4	20230r4	25270c3	37030t3	58870a3	67270y3	95830e3	117670m3	129430k3

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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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