Cremona's table of elliptic curves

11616 = 2⁵ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	11616t	Isogeny class
Conductor	11616	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	1111236439104 = 26 · 34 · 118	Discriminant
Eigenvalues	2- 3+ -2  0 11-  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4154,91104]	[a1,a2,a3,a4,a6]
Generators	[-24:420:1]	Generators of the group modulo torsion
j	69934528/9801	j-invariant
L	3.3898874310346	L(r)(E,1)/r!
Ω	0.83659554468349	Real period
R	4.0520027300851	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11616m1 23232bx2 34848t1 1056c1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 11616t1

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

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Quadratic twists for elliptic curve 11616t1

-4	8	-3	-11
11616m1	23232bx2	34848t1	1056c1

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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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