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	16	Product of Tamagawa factors cp
Δ	290580293025 = 38 · 52 · 116	Discriminant
Eigenvalues	1 3+ 5-  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16337,796536]	[a1,a2,a3,a4,a6]
Generators	[1566:17367:8]	Generators of the group modulo torsion
j	272223782641/164025	j-invariant
L	3.207426541459	L(r)(E,1)/r!
Ω	0.9625702773335	Real period
R	3.3321479137546	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	29040dg6 116160ct6 5445g5 9075l5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1815a5

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 1815a5

-4	8	-3	5	-7	-11
29040dg6	116160ct6	5445g5	9075l5	88935bp6	15a2

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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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