Cremona's table of elliptic curves

6552 = 2³ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	6552m	Isogeny class
Conductor	6552	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-3.8371518506216E+19	Discriminant
Eigenvalues	2+ 3-  2 7-  4 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1559379,806587598]	[a1,a2,a3,a4,a6]
j	-280880296871140514/25701087819771	j-invariant
L	3.2046925055121	L(r)(E,1)/r!
Ω	0.2002932815945	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13104w6 52416cp5 2184j6 45864o5	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552m6

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

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Quadratic twists for elliptic curve 6552m6

-4	8	-3	-7	13
13104w6	52416cp5	2184j6	45864o5	85176bw5

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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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