Cremona's table of elliptic curves

1505 = 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	5+ 7- 43-	Signs for the Atkin-Lehner involutions
Class	1505a	Isogeny class
Conductor	1505	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-79045421875 = -1 · 56 · 76 · 43	Discriminant
Eigenvalues	0 -2 5+ 7-  3 -1 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,769,-10500]	[a1,a2,a3,a4,a6]
Generators	[54:437:1]	Generators of the group modulo torsion
j	50227071451136/79045421875	j-invariant
L	1.6438844900615	L(r)(E,1)/r!
Ω	0.57279457851709	Real period
R	0.2391614364201	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24080h2 96320bc2 13545n2 7525a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1505a2

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
0	-2	+	-	3	-1	-3	-4	9	0	5	2	-9	-	0	-3	-12	14	-13	-12	-16	-16	3	-6	-13

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Quadratic twists for elliptic curve 1505a2

-4	8	-3	5	-7	-43
24080h2	96320bc2	13545n2	7525a2	10535e2	64715f2

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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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