Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596ba |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-9137292738085833984 = -1 · 28 · 311 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -4 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272063,-571048634] |
[a1,a2,a3,a4,a6] |
j |
-115024912/4617 |
j-invariant |
L |
0.85094884995492 |
L(r)(E,1)/r! |
Ω |
0.070912382277672 |
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 |
38532m1 115596bf1 |
Quadratic twists by: -3 13 |