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	1.0618497238159E+21	Discriminant
Eigenvalues	2-  2 5- 7-  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-25923255,50767188527]	[a1,a2,a3,a4,a6]
j	16375858190544687071329/9025573730468750	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	50960bu6 57330s6 31850bc6 910j6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6370v6

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 6370v6

-4	-3	5	-7	13
50960bu6	57330s6	31850bc6	910j6	82810l6

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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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