Cremona's table of elliptic curves

6370 = 2 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	6370v	Isogeny class
Conductor	6370	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	2.4347394181258E+19	Discriminant
Eigenvalues	2-  2 5- 7-  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-997445,-301506605]	[a1,a2,a3,a4,a6]
j	932829715460155969/206949435875000	j-invariant
L	5.5246359120619	L(r)(E,1)/r!
Ω	0.15346210866839	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	50960bu4 57330s4 31850bc4 910j4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6370v4

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

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Quadratic twists for elliptic curve 6370v4

-4	-3	5	-7	13
50960bu4	57330s4	31850bc4	910j4	82810l4

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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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