Atkin-Lehner |
2- 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bp |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
165327360 |
Modular degree for the optimal curve |
Δ |
-2.7074658389026E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-422848138,-25257432868969] |
[a1,a2,a3,a4,a6] |
j |
-856203376974891165838825/27724450190362563575808 |
j-invariant |
L |
2.0488716759106 |
L(r)(E,1)/r! |
Ω |
0.013479421044465 |
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 |
115050bf1 |
Quadratic twists by: 5 |