Cremona's table of elliptic curves

6240 = 2⁵ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	6240c	Isogeny class
Conductor	6240	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-219348480 = -1 · 29 · 3 · 5 · 134	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,104,-620]	[a1,a2,a3,a4,a6]
j	240641848/428415	j-invariant
L	1.8587763378297	L(r)(E,1)/r!
Ω	0.92938816891486	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	6240m4 12480cv4 18720br4 31200bu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6240c4

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

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Quadratic twists for elliptic curve 6240c4

-4	8	-3	5	13
6240m4	12480cv4	18720br4	31200bu2	81120bj2

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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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