Cremona's table of elliptic curves

5070 = 2 · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	5070j	Isogeny class
Conductor	5070	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	87360	Modular degree for the optimal curve
Δ	-10571870144160 = -1 · 25 · 34 · 5 · 138	Discriminant
Eigenvalues	2+ 3- 5+ -5 -3 13+ -8 -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-836554,-294572068]	[a1,a2,a3,a4,a6]
j	-79370312059129/12960	j-invariant
L	0.31572292179352	L(r)(E,1)/r!
Ω	0.07893073044838	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	40560bl1 15210bt1 25350cb1 5070x1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5070j1

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
+	-	+	-5	-3	+	-8	-5	-4	-4	-2	-7	6	6	-3	1	12	2	8	2	0	-2	8	-11	0

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Quadratic twists for elliptic curve 5070j1

-4	-3	5	13
40560bl1	15210bt1	25350cb1	5070x1

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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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