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
Class	1540c	Isogeny class
Conductor	1540	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	173612978000 = 24 · 53 · 72 · 116	Discriminant
Eigenvalues	2- -2 5- 7- 11- -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2485,-44100]	[a1,a2,a3,a4,a6]
Generators	[-35:35:1]	Generators of the group modulo torsion
j	106110329552896/10850811125	j-invariant
L	2.2119655135358	L(r)(E,1)/r!
Ω	0.68062756179814	Real period
R	1.0832970617548	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	6160i1 24640k1 13860o1 7700d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1540c1

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 elliptic curve 1540c1

-4	8	-3	5	-7	-11
6160i1	24640k1	13860o1	7700d1	10780h1	16940f1

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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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