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	13552bb	Isogeny class
Conductor	13552	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-3644295424 = -1 · 28 · 76 · 112	Discriminant
Eigenvalues	2-  2  3 7- 11-  1  3  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,356,1212]	[a1,a2,a3,a4,a6]
j	160630448/117649	j-invariant
L	5.3594976642552	L(r)(E,1)/r!
Ω	0.89324961070919	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3388c2 54208de2 121968gj2 94864de2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552bb2

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	-	-	1	3	8	0	3	4	-7	-9	8	-12	9	12	-2	4	0	-2	8	-6	9	-19

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Quadratic twists for elliptic curve 13552bb2

-4	8	-3	-7	-11
3388c2	54208de2	121968gj2	94864de2	13552q2

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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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