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	5148c	Isogeny class
Conductor	5148	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-103710915223344 = -1 · 24 · 320 · 11 · 132	Discriminant
Eigenvalues	2- 3-  2 -2 11+ 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-984,-490115]	[a1,a2,a3,a4,a6]
j	-9033613312/8891539371	j-invariant
L	2.1527086846824	L(r)(E,1)/r!
Ω	0.2690885855853	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20592bu1 82368bw1 1716c1 128700f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5148c1

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

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Quadratic twists for elliptic curve 5148c1

-4	8	-3	5	-11	13
20592bu1	82368bw1	1716c1	128700f1	56628n1	66924o1

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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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