Cremona's table of elliptic curves

11424 = 2⁵ · 3 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	11424s	Isogeny class
Conductor	11424	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	33076474706483712 = 29 · 33 · 73 · 178	Discriminant
Eigenvalues	2- 3- -2 7+  4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-126624,-15015960]	[a1,a2,a3,a4,a6]
Generators	[1179:38418:1]	Generators of the group modulo torsion
j	438536015880092936/64602489661101	j-invariant
L	4.9814454747853	L(r)(E,1)/r!
Ω	0.25558025003754	Real period
R	6.4969097756362	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	11424n3 22848bt4 34272m3 79968bv3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11424s2

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	+	4	2	+	4	-4	-2	-8	-2	-2	-8	0	6	-4	2	8	-4	-6	0	4	6	10

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Quadratic twists for elliptic curve 11424s2

-4	8	-3	-7
11424n3	22848bt4	34272m3	79968bv3

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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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