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	398601225 = 32 · 52 · 116	Discriminant
Eigenvalues	1 3+ 5-  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-607,-5936]	[a1,a2,a3,a4,a6]
Generators	[48:256:1]	Generators of the group modulo torsion
j	13997521/225	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	29040dg2 116160ct2 5445g2 9075l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1815a2

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 1815a2

-4	8	-3	5	-7	-11
29040dg2	116160ct2	5445g2	9075l2	88935bp2	15a3

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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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