Cremona's table of elliptic curves

11256 = 2³ · 3 · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 67-	Signs for the Atkin-Lehner involutions
Class	11256g	Isogeny class
Conductor	11256	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	5470416 = 24 · 36 · 7 · 67	Discriminant
Eigenvalues	2- 3-  2 7- -2 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-147,630]	[a1,a2,a3,a4,a6]
Generators	[3:15:1]	Generators of the group modulo torsion
j	22105827328/341901	j-invariant
L	6.277090248337	L(r)(E,1)/r!
Ω	2.4155223503293	Real period
R	0.86621571347793	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	22512a1 90048i1 33768k1 78792u1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11256g1

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

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Quadratic twists for elliptic curve 11256g1

-4	8	-3	-7
22512a1	90048i1	33768k1	78792u1

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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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