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	11424a	Isogeny class
Conductor	11424	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	564254208 = 29 · 33 · 74 · 17	Discriminant
Eigenvalues	2+ 3+  2 7+  4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4912,134152]	[a1,a2,a3,a4,a6]
Generators	[441:9140:1]	Generators of the group modulo torsion
j	25604555308424/1102059	j-invariant
L	4.6622746646294	L(r)(E,1)/r!
Ω	1.5394020496031	Real period
R	6.0572540693075	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	11424v2 22848w4 34272bh4 79968be4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11424a3

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	-8	6	-8	6	-10	-4	-8	-6	-8	-10	12	0	6	-16	-8	-2	-18

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Quadratic twists for elliptic curve 11424a3

-4	8	-3	-7
11424v2	22848w4	34272bh4	79968be4

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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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