Cremona's table of elliptic curves

13552 = 2⁴ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	13552h	Isogeny class
Conductor	13552	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	230400	Modular degree for the optimal curve
Δ	-1.3503376826253E+19	Discriminant
Eigenvalues	2+ -2  2 7- 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,463148,128760828]	[a1,a2,a3,a4,a6]
Generators	[854:33880:1]	Generators of the group modulo torsion
j	24226243449392/29774625727	j-invariant
L	3.8785304325056	L(r)(E,1)/r!
Ω	0.14976072544654	Real period
R	2.5898181388619	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6776f1 54208cy1 121968cc1 94864u1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552h1

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	2	-	-	0	-4	4	4	-2	2	-6	-4	-4	-2	2	6	-4	0	12	-16	-8	-12	10	-2

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Quadratic twists for elliptic curve 13552h1

-4	8	-3	-7	-11
6776f1	54208cy1	121968cc1	94864u1	1232d1

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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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