Atkin-Lehner |
3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5115a |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-281993146875 = -1 · 37 · 55 · 113 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15181,725481] |
[a1,a2,a3,a4,a6] |
j |
-386948760982257664/281993146875 |
j-invariant |
L |
0.96736652133409 |
L(r)(E,1)/r! |
Ω |
0.96736652133409 |
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 |
81840cx1 15345j1 25575h1 56265a1 |
Quadratic twists by: -4 -3 5 -11 |