Cremona's table of elliptic curves

1815 = 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	3+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	1815a	Isogeny class
Conductor	1815	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	26573415 = 3 · 5 · 116	Discriminant
Eigenvalues	1 3+ 5-  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-9682,-370751]	[a1,a2,a3,a4,a6]
Generators	[1110:7369:8]	Generators of the group modulo torsion
j	56667352321/15	j-invariant
L	3.207426541459	L(r)(E,1)/r!
Ω	0.48128513866675	Real period
R	6.6642958275092	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	29040dg4 116160ct4 5445g4 9075l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1815a3

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	+	-	0	-	2	-2	-4	0	2	0	-10	-10	-4	8	-10	-4	2	12	-8	-10	0	-12	-6	2

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Quadratic twists for elliptic curve 1815a3

-4	8	-3	5	-7	-11
29040dg4	116160ct4	5445g4	9075l3	88935bp4	15a7

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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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