Atkin-Lehner |
5+ 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15355a |
Isogeny class |
Conductor |
15355 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5220 |
Modular degree for the optimal curve |
Δ |
-9596875 = -1 · 55 · 37 · 83 |
Discriminant |
Eigenvalues |
0 2 5+ 0 5 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1121,14827] |
[a1,a2,a3,a4,a6] |
j |
-155929364660224/9596875 |
j-invariant |
L |
2.180141187851 |
L(r)(E,1)/r! |
Ω |
2.180141187851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76775b1 |
Quadratic twists by: 5 |