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	5070p	Isogeny class
Conductor	5070	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-9340607016000000 = -1 · 29 · 312 · 56 · 133	Discriminant
Eigenvalues	2- 3+ 5+  0 -6 13-  6  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,10819,-4625197]	[a1,a2,a3,a4,a6]
Generators	[327:5668:1]	Generators of the group modulo torsion
j	63745936931123/4251528000000	j-invariant
L	4.4249043071402	L(r)(E,1)/r!
Ω	0.19549407169981	Real period
R	1.2574704436093	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	40560cn2 15210x2 25350bk2 5070h2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5070p2

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	-	6	6	-6	-6	0	6	12	-8	0	-12	-6	10	0	-12	6	-8	0	0	-6

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Quadratic twists for elliptic curve 5070p2

-4	-3	5	13
40560cn2	15210x2	25350bk2	5070h2

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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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