Cremona's table of elliptic curves

24255 = 3² · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	24255l	Isogeny class
Conductor	24255	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	132480	Modular degree for the optimal curve
Δ	-1139653388671875 = -1 · 39 · 510 · 72 · 112	Discriminant
Eigenvalues	2 3+ 5+ 7- 11-  3  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-3213,-1625731]	[a1,a2,a3,a4,a6]
Generators	[649166:9039253:2744]	Generators of the group modulo torsion
j	-3803369472/1181640625	j-invariant
L	10.177023612121	L(r)(E,1)/r!
Ω	0.2186627021312	Real period
R	5.8177637938081	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	24255t1 121275bj1 24255p1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 24255l1

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	+	+	-	-	3	0	1	-2	8	-5	-3	-8	-11	4	-6	6	-6	13	-12	15	1	0	8	2

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Quadratic twists for elliptic curve 24255l1

-3	5	-7
24255t1	121275bj1	24255p1

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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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