Cremona's table of elliptic curves

11352 = 2³ · 3 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 43-	Signs for the Atkin-Lehner involutions
Class	11352o	Isogeny class
Conductor	11352	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	74173968 = 24 · 34 · 113 · 43	Discriminant
Eigenvalues	2- 3-  0  3 11- -2 -2 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-148,509]	[a1,a2,a3,a4,a6]
Generators	[-10:33:1]	Generators of the group modulo torsion
j	22559008000/4635873	j-invariant
L	6.0388814175447	L(r)(E,1)/r!
Ω	1.835890966495	Real period
R	0.1370561017274	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22704b1 90816a1 34056f1 124872m1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 11352o1

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	3	-	-2	-2	-3	1	-5	-5	0	-4	-	-3	11	-5	-1	-7	-12	14	-10	-8	0	-15

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Quadratic twists for elliptic curve 11352o1

-4	8	-3	-11
22704b1	90816a1	34056f1	124872m1

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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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