Cremona's table of elliptic curves

2552 = 2³ · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 11- 29+	Signs for the Atkin-Lehner involutions
Class	2552a	Isogeny class
Conductor	2552	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1056	Modular degree for the optimal curve
Δ	-286558976 = -1 · 28 · 113 · 292	Discriminant
Eigenvalues	2+ -1 -3 -4 11- -2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-137,1069]	[a1,a2,a3,a4,a6]
Generators	[-12:29:1] [2445:-9262:125]	Generators of the group modulo torsion
j	-1118952448/1119371	j-invariant
L	2.8195147966066	L(r)(E,1)/r!
Ω	1.5781176755158	Real period
R	0.074442980402924	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5104a1 20416b1 22968t1 63800m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2552a1

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	-	-2	-4	-6	-3	+	-9	-7	-8	-8	8	-6	7	6	3	-1	2	-6	14	-7	7

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Quadratic twists for elliptic curve 2552a1

-4	8	-3	5	-7	-11	29
5104a1	20416b1	22968t1	63800m1	125048g1	28072g1	74008f1

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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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