Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
580a |
Isogeny class |
Conductor |
580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1076480 = -1 · 28 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
2122416/4205 |
j-invariant |
L |
1.9398167217561 |
L(r)(E,1)/r! |
Ω |
1.4398082404058 |
Real period |
R |
0.89818290487969 |
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 |
2320g2 9280e2 5220n2 2900e2 |
Quadratic twists by: -4 8 -3 5 |