Cremona's table of elliptic curves

5415 = 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	5415l	Isogeny class
Conductor	5415	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1964073645263671875 = 32 · 512 · 197	Discriminant
Eigenvalues	-1 3- 5-  4  4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-446745,-93110850]	[a1,a2,a3,a4,a6]
j	209595169258201/41748046875	j-invariant
L	2.2468385266529	L(r)(E,1)/r!
Ω	0.18723654388774	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	86640ct3 16245c4 27075f3 285c4	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5415l3

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	-	-	4	4	-2	2	-	-4	2	0	6	6	8	-12	14	-4	14	4	0	-14	-16	0	6	10

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Quadratic twists for elliptic curve 5415l3

-4	-3	5	-19
86640ct3	16245c4	27075f3	285c4

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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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