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	6240l	Isogeny class
Conductor	6240	Conductor
∏ cp	168	Product of Tamagawa factors cp
Δ	1.2866640134029E+20	Discriminant
Eigenvalues	2+ 3- 5+  0  4 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1711496,-667563336]	[a1,a2,a3,a4,a6]
Generators	[-554:10530:1]	Generators of the group modulo torsion
j	1082883335268084577352/251301565117746585	j-invariant
L	4.6704765587839	L(r)(E,1)/r!
Ω	0.13420231797558	Real period
R	0.82861327960385	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	6240d2 12480cc3 18720bq2 31200bc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6240l3

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	-	-2	-4	-8	-6	0	-10	6	4	0	6	-12	-10	12	12	-10	-8	-16	14	-2

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Quadratic twists for elliptic curve 6240l3

-4	8	-3	5	13
6240d2	12480cc3	18720bq2	31200bc3	81120bw3

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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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