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	924b	Isogeny class
Conductor	924	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	360	Modular degree for the optimal curve
Δ	-487018224 = -1 · 24 · 33 · 7 · 115	Discriminant
Eigenvalues	2- 3+ -1 7+ 11- -1  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,14,1057]	[a1,a2,a3,a4,a6]
Generators	[24:121:1]	Generators of the group modulo torsion
j	17643776/30438639	j-invariant
L	2.0082329065302	L(r)(E,1)/r!
Ω	1.2992812639656	Real period
R	0.10304327283228	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	3696y1 14784v1 2772f1 23100bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 924b1

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
-	+	-1	+	-	-1	6	1	-8	-7	-10	-3	0	-4	7	4	7	-14	-13	-16	13	-8	-14	10	-12

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Quadratic twists for elliptic curve 924b1

-4	8	-3	5	-7	-11
3696y1	14784v1	2772f1	23100bb1	6468o1	10164k1

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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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