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	5070v	Isogeny class
Conductor	5070	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	162904803750 = 2 · 33 · 54 · 136	Discriminant
Eigenvalues	2- 3- 5-  4  0 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-48760,4140122]	[a1,a2,a3,a4,a6]
j	2656166199049/33750	j-invariant
L	5.5779790714142	L(r)(E,1)/r!
Ω	0.92966317856904	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	40560bv5 15210n4 25350i5 30a5	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5070v5

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
-	-	-	4	0	+	6	4	0	-6	-8	-2	6	-4	0	-6	0	-10	4	0	-2	8	-12	-18	-2

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Quadratic twists for elliptic curve 5070v5

-4	-3	5	13
40560bv5	15210n4	25350i5	30a5

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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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