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	11424g	Isogeny class
Conductor	11424	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-198325278144 = -1 · 26 · 312 · 73 · 17	Discriminant
Eigenvalues	2+ 3-  2 7+  2 -4 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1458,0]	[a1,a2,a3,a4,a6]
Generators	[18:180:1]	Generators of the group modulo torsion
j	5352028359488/3098832471	j-invariant
L	6.1334047015823	L(r)(E,1)/r!
Ω	0.59830941678182	Real period
R	1.7085375697892	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	11424e1 22848by1 34272be1 79968j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11424g1

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	-4	-	-2	4	-4	-8	4	-10	-8	0	-6	-2	14	-4	-8	-6	12	-10	-18	-2

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Quadratic twists for elliptic curve 11424g1

-4	8	-3	-7
11424e1	22848by1	34272be1	79968j1

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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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