Cremona's table of elliptic curves

924 = 2² · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	924h	Isogeny class
Conductor	924	Conductor
∏ cp	45	Product of Tamagawa factors cp
Δ	-22560412295249136 = -1 · 24 · 33 · 715 · 11	Discriminant
Eigenvalues	2- 3- -3 7- 11- -7 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,59978,4520981]	[a1,a2,a3,a4,a6]
Generators	[-55:1029:1]	Generators of the group modulo torsion
j	1491325446082364672/1410025768453071	j-invariant
L	2.4534577551621	L(r)(E,1)/r!
Ω	0.24968437045874	Real period
R	0.21836081829181	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	3696m2 14784q2 2772k2 23100e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 924h2

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	-	-	-7	-6	-1	0	-3	2	5	-12	8	-3	-12	-3	-10	-13	-12	11	8	6	6	8

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Quadratic twists for elliptic curve 924h2

-4	8	-3	5	-7	-11
3696m2	14784q2	2772k2	23100e2	6468j2	10164t2

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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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