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	11256d	Isogeny class
Conductor	11256	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1600	Modular degree for the optimal curve
Δ	-1823472 = -1 · 24 · 35 · 7 · 67	Discriminant
Eigenvalues	2- 3+  2 7- -3 -3  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12,-63]	[a1,a2,a3,a4,a6]
Generators	[8:17:1]	Generators of the group modulo torsion
j	-12967168/113967	j-invariant
L	4.4939537449732	L(r)(E,1)/r!
Ω	1.1165119831617	Real period
R	2.012496870946	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	22512g1 90048ba1 33768g1 78792x1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11256d1

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	-	-3	-3	6	4	-2	-4	5	-11	-2	-2	3	-10	-7	3	+	8	-8	-10	12	1	17

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Quadratic twists for elliptic curve 11256d1

-4	8	-3	-7
22512g1	90048ba1	33768g1	78792x1

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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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