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	2870a	Isogeny class
Conductor	2870	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-80721620 = -1 · 22 · 5 · 74 · 412	Discriminant
Eigenvalues	2+  0 5+ 7+  6  0  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,65,-399]	[a1,a2,a3,a4,a6]
Generators	[15:54:1]	Generators of the group modulo torsion
j	30109256631/80721620	j-invariant
L	2.2875225596149	L(r)(E,1)/r!
Ω	0.99121396448024	Real period
R	1.1538994816393	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22960k2 91840m2 25830bh2 14350q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2870a2

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

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Quadratic twists for elliptic curve 2870a2

-4	8	-3	5	-7	41
22960k2	91840m2	25830bh2	14350q2	20090e2	117670g2

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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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