Cremona's table of elliptic curves

1540 = 2² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	1540	Conductor
Count	4	Number of curves in isogeny class
Curves	1540c1 1540c2 1540c3 1540c4	Curves in isogeny class
deg	1728	Modular degree for the optimal curve
Eigenvalues	2- -2 5- 7- 11- -4  0 -4	Hecke eigenvalues for primes less than 20
L	2.2119655135358	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6160i 24640k 13860o 7700d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1540c

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	-	-	-	-4	0	-4	6	-6	-4	2	-6	-4	6	-6	0	-10	2	12	8	-16	-12	-18	-10

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Quadratic twists for isogeny class 1540c

-4	8	-3	5	-7	-11
6160i	24640k	13860o	7700d	10780h	16940f

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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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