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	924g	Isogeny class
Conductor	924	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	-33264 = -1 · 24 · 33 · 7 · 11	Discriminant
Eigenvalues	2- 3-  3 7- 11+ -1  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,6,9]	[a1,a2,a3,a4,a6]
j	1257728/2079	j-invariant
L	2.5196994925874	L(r)(E,1)/r!
Ω	2.5196994925874	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	3696o1 14784u1 2772m1 23100a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 924g1

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	-	+	-1	0	5	6	-3	-4	-7	-12	2	3	6	3	2	-1	12	-7	-4	0	6	2

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Quadratic twists for elliptic curve 924g1

-4	8	-3	5	-7	-11
3696o1	14784u1	2772m1	23100a1	6468e1	10164s1

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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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