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
Conductor	6240	Conductor
Count	4	Number of curves in isogeny class
Curves	6240k1 6240k2 6240k3 6240k4	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  4  4 13+  2 -4	Hecke eigenvalues for primes less than 20
L	3.2076559085618	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6240b 12480ci 18720bm 31200bq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6240k

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
+	-	+	4	4	+	2	-4	0	6	0	10	2	-4	4	-6	-4	-2	-4	-8	-2	16	4	10	-2

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Quadratic twists for isogeny class 6240k

-4	8	-3	5	13
6240b	12480ci	18720bm	31200bq	81120cc

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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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