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	13552z	Isogeny class
Conductor	13552	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	57600	Modular degree for the optimal curve
Δ	-3911153168384 = -1 · 212 · 72 · 117	Discriminant
Eigenvalues	2- -1  3 7- 11-  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-172949,27741661]	[a1,a2,a3,a4,a6]
j	-78843215872/539	j-invariant
L	2.8020837391176	L(r)(E,1)/r!
Ω	0.7005209347794	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	847a1 54208ct1 121968gl1 94864cj1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552z1

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 13552z1

-4	8	-3	-7	-11
847a1	54208ct1	121968gl1	94864cj1	1232f1

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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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