Cremona's table of elliptic curves

5478 = 2 · 3 · 11 · 83

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 83-	Signs for the Atkin-Lehner involutions
Class	5478o	Isogeny class
Conductor	5478	Conductor
∏ cp	1176	Product of Tamagawa factors cp
deg	282240	Modular degree for the optimal curve
Δ	4.091144970387E+20	Discriminant
Eigenvalues	2- 3-  0 -2 11-  0 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10667603,13374360993]	[a1,a2,a3,a4,a6]
Generators	[-3506:89401:1]	Generators of the group modulo torsion
j	134253077289132237683208625/409114497038697381888	j-invariant
L	6.4151662814307	L(r)(E,1)/r!
Ω	0.16886943491166	Real period
R	0.12921399000162	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	43824k1 16434a1 60258l1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 5478o1

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

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Quadratic twists for elliptic curve 5478o1

-4	-3	-11
43824k1	16434a1	60258l1

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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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