Cremona's table of elliptic curves

2870 = 2 · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 41+	Signs for the Atkin-Lehner involutions
Class	2870c	Isogeny class
Conductor	2870	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1163360189244050 = 2 · 52 · 712 · 412	Discriminant
Eigenvalues	2+ -2 5+ 7-  6 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-100759,12192096]	[a1,a2,a3,a4,a6]
j	113127727204373165929/1163360189244050	j-invariant
L	0.65304915988419	L(r)(E,1)/r!
Ω	0.48978686991314	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	22960i2 91840t2 25830bl2 14350l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2870c2

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

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Quadratic twists for elliptic curve 2870c2

-4	8	-3	5	-7	41
22960i2	91840t2	25830bl2	14350l2	20090f2	117670b2

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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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