Cremona's table of elliptic curves

5148 = 2² · 3² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	5148d	Isogeny class
Conductor	5148	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3600	Modular degree for the optimal curve
Δ	-41979015936 = -1 · 28 · 36 · 113 · 132	Discriminant
Eigenvalues	2- 3- -3  2 11+ 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,816,4084]	[a1,a2,a3,a4,a6]
j	321978368/224939	j-invariant
L	1.4473350258873	L(r)(E,1)/r!
Ω	0.72366751294366	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20592bx1 82368bz1 572a1 128700h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5148d1

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
-	-	-3	2	+	-	0	2	3	6	-1	-7	-6	8	-12	6	-9	2	-7	3	8	-4	12	15	-13

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Quadratic twists for elliptic curve 5148d1

-4	8	-3	5	-11	13
20592bx1	82368bz1	572a1	128700h1	56628q1	66924p1

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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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