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	13552r	Isogeny class
Conductor	13552	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	15644612673536 = 214 · 72 · 117	Discriminant
Eigenvalues	2- -2  2 7+ 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-454032,-117905900]	[a1,a2,a3,a4,a6]
Generators	[4136300:453518890:343]	Generators of the group modulo torsion
j	1426487591593/2156	j-invariant
L	3.7630444137765	L(r)(E,1)/r!
Ω	0.18391955126022	Real period
R	10.230137002815	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	1694i2 54208cg2 121968ek2 94864cu2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552r2

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	+	-	4	0	4	-4	-2	10	-6	0	-4	-10	-14	-10	8	-8	4	-4	16	4	10	6

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Quadratic twists for elliptic curve 13552r2

-4	8	-3	-7	-11
1694i2	54208cg2	121968ek2	94864cu2	1232h2

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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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