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	2	Product of Tamagawa factors cp
Δ	2695680 = 29 · 34 · 5 · 13	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-696,-6840]	[a1,a2,a3,a4,a6]
j	72929847752/5265	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6240m3 12480cv3 18720br3 31200bu4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6240c2

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 6240c2

-4	8	-3	5	13
6240m3	12480cv3	18720br3	31200bu4	81120bj4

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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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