Cremona's table of elliptic curves

11440 = 2⁴ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	11440n	Isogeny class
Conductor	11440	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-12868444160 = -1 · 213 · 5 · 11 · 134	Discriminant
Eigenvalues	2- -3 5-  1 11+ 13+ -3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-907,-11846]	[a1,a2,a3,a4,a6]
Generators	[125:1352:1]	Generators of the group modulo torsion
j	-20145851361/3141710	j-invariant
L	2.8873161262251	L(r)(E,1)/r!
Ω	0.43127521694065	Real period
R	0.83685429072037	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	1430j1 45760bn1 102960dp1 57200bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440n1

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
-	-3	-	1	+	+	-3	-1	2	1	3	7	-10	8	-2	-1	-6	3	-8	1	6	10	-10	-3	4

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Quadratic twists for elliptic curve 11440n1

-4	8	-3	5	-11
1430j1	45760bn1	102960dp1	57200bi1	125840cs1

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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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