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	2	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-26573415 = -1 · 3 · 5 · 116	Discriminant
Eigenvalues	1 3+ 5-  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2,-249]	[a1,a2,a3,a4,a6]
Generators	[3850:10443:343]	Generators of the group modulo torsion
j	-1/15	j-invariant
L	3.207426541459	L(r)(E,1)/r!
Ω	0.9625702773335	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	29040dg1 116160ct1 5445g1 9075l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1815a1

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 1815a1

-4	8	-3	5	-7	-11
29040dg1	116160ct1	5445g1	9075l1	88935bp1	15a8

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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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