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	13552g	Isogeny class
Conductor	13552	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	977788292096 = 210 · 72 · 117	Discriminant
Eigenvalues	2+  2  2 7- 11- -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-28112,-1804240]	[a1,a2,a3,a4,a6]
Generators	[17230:2261490:1]	Generators of the group modulo torsion
j	1354435492/539	j-invariant
L	7.5165636576343	L(r)(E,1)/r!
Ω	0.36871066818842	Real period
R	5.0965189687657	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	6776h2 54208dd2 121968cd2 94864y2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552g2

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

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Quadratic twists for elliptic curve 13552g2

-4	8	-3	-7	-11
6776h2	54208dd2	121968cd2	94864y2	1232c2

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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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