Cremona's table of elliptic curves

5405 = 5 · 23 · 47

Field	Data	Notes
Atkin-Lehner	5+ 23- 47-	Signs for the Atkin-Lehner involutions
Class	5405a	Isogeny class
Conductor	5405	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2976	Modular degree for the optimal curve
Δ	274611835 = 5 · 232 · 473	Discriminant
Eigenvalues	-1 -3 5+  1  5  1  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-258,-1314]	[a1,a2,a3,a4,a6]
Generators	[68:-575:1]	Generators of the group modulo torsion
j	1892360039409/274611835	j-invariant
L	1.4901855436028	L(r)(E,1)/r!
Ω	1.2031299218931	Real period
R	0.20643178492007	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86480c1 48645f1 27025a1 124315e1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 5405a1

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
-1	-3	+	1	5	1	0	1	-	-8	-11	8	4	0	-	2	-4	-5	2	2	9	6	-9	-14	-2

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Quadratic twists for elliptic curve 5405a1

-4	-3	5	-23
86480c1	48645f1	27025a1	124315e1

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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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