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	2	Product of Tamagawa factors cp
Δ	529920 = 29 · 32 · 5 · 23	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -6  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11040,-450180]	[a1,a2,a3,a4,a6]
Generators	[723:19236:1]	Generators of the group modulo torsion
j	290670065844488/1035	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11040j3 22080a4 33120bd4 55200bq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11040h2

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 11040h2

-4	8	-3	5
11040j3	22080a4	33120bd4	55200bq4

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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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