Cremona's table of elliptic curves

45504 = 2⁶ · 3² · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 79+	Signs for the Atkin-Lehner involutions
Class	45504bl	Isogeny class
Conductor	45504	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	122267687030784 = 212 · 314 · 792	Discriminant
Eigenvalues	2- 3- -2  0  0  2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-76836,-8180480]	[a1,a2,a3,a4,a6]
Generators	[-779586:-629096:4913]	Generators of the group modulo torsion
j	16800820020928/40947201	j-invariant
L	5.1363105529198	L(r)(E,1)/r!
Ω	0.28679526315409	Real period
R	8.9546642026914	Regulator
r	1	Rank of the group of rational points
S	0.99999999999707	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	45504bw2 22752c1 15168p2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 45504bl2

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

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Quadratic twists for elliptic curve 45504bl2

-4	8	-3
45504bw2	22752c1	15168p2

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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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