Cremona's table of elliptic curves

11040 = 2⁵ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 23+	Signs for the Atkin-Lehner involutions
Class	11040h	Isogeny class
Conductor	11040	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-51580293120 = -1 · 212 · 32 · 5 · 234	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -6  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-465,-11745]	[a1,a2,a3,a4,a6]
Generators	[2052:5481:64]	Generators of the group modulo torsion
j	-2720547136/12592845	j-invariant
L	5.6962300788979	L(r)(E,1)/r!
Ω	0.46575122762705	Real period
R	6.1150993717392	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	11040j4 22080a1 33120bd2 55200bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11040h4

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

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Quadratic twists for elliptic curve 11040h4

-4	8	-3	5
11040j4	22080a1	33120bd2	55200bq2

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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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