Cremona's table of elliptic curves

54208 = 2⁶ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	54208ct	Isogeny class
Conductor	54208	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-17754252025501376 = -1 · 26 · 76 · 119	Discriminant
Eigenvalues	2-  1 -3 7- 11- -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-23877,6558209]	[a1,a2,a3,a4,a6]
Generators	[1624:-65219:1] [-56:2779:1]	Generators of the group modulo torsion
j	-13278380032/156590819	j-invariant
L	9.8047263880227	L(r)(E,1)/r!
Ω	0.33022873556377	Real period
R	1.2371130134096	Regulator
r	2	Rank of the group of rational points
S	0.99999999999972	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	54208l2 13552z2 4928t2	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 54208ct2

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	-3	-	-	-4	6	-2	-3	-6	-5	-11	-6	-8	0	6	-9	-10	5	-9	-2	-10	-12	-3	-1

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Quadratic twists for elliptic curve 54208ct2

-4	8	-11
54208l2	13552z2	4928t2

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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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