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	8	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	-2800 = -1 · 24 · 52 · 7	Discriminant
Eigenvalues	2-  0 5+ 7+  4 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2,-3]	[a1,a2,a3,a4,a6]
j	1367631/2800	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	4	Number of elements in the torsion subgroup
Twists	560d1 2240f1 630e1 350a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 70a1

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 70a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
560d1	2240f1	630e1	350a1	490h1	8470h1	11830l1	20230r1	25270c1	37030t1	58870a1	67270y1	95830e1	117670m1	129430k1

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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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