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	13552n	Isogeny class
Conductor	13552	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	31289225347072 = 215 · 72 · 117	Discriminant
Eigenvalues	2-  0 -4 7+ 11- -2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-908347,333215850]	[a1,a2,a3,a4,a6]
Generators	[543:294:1]	Generators of the group modulo torsion
j	11422548526761/4312	j-invariant
L	2.6208364201368	L(r)(E,1)/r!
Ω	0.53402981838141	Real period
R	2.4538296644935	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	1694g2 54208by2 121968ey2 94864cc2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552n2

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
-	0	-4	+	-	-2	4	-6	-4	2	2	10	-4	-8	-2	6	12	14	12	8	-4	0	-6	-6	-14

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Quadratic twists for elliptic curve 13552n2

-4	8	-3	-7	-11
1694g2	54208by2	121968ey2	94864cc2	1232k2

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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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