Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596p |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1126392102821232 = -1 · 24 · 310 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-368589,-86146567] |
[a1,a2,a3,a4,a6] |
Generators |
[8541832:12800905:12167] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
7.768749985801 |
L(r)(E,1)/r! |
Ω |
0.096878781359134 |
Real period |
R |
10.023802276823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532c1 8892i1 |
Quadratic twists by: -3 13 |