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	11440j	Isogeny class
Conductor	11440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-22117638400 = -1 · 28 · 52 · 112 · 134	Discriminant
Eigenvalues	2- -2 5+  2 11+ 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,364,6760]	[a1,a2,a3,a4,a6]
Generators	[39:286:1]	Generators of the group modulo torsion
j	20777545136/86397025	j-invariant
L	3.1061711768448	L(r)(E,1)/r!
Ω	0.86167511882397	Real period
R	0.90120136609149	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	2860b2 45760bu2 102960eu2 57200bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440j2

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	+	-	6	0	-2	-2	-8	2	6	2	-10	-14	0	2	-10	0	14	-16	14	10	18

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Quadratic twists for elliptic curve 11440j2

-4	8	-3	5	-11
2860b2	45760bu2	102960eu2	57200bc2	125840bo2

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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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