Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230u |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
-36618152065690 = -1 · 2 · 5 · 138 · 672 |
Discriminant |
Eigenvalues |
2- -2 5- 3 5 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-595,291147] |
[a1,a2,a3,a4,a6] |
Generators |
[1126:13295:8] |
Generators of the group modulo torsion |
j |
-28561/44890 |
j-invariant |
L |
10.075317228328 |
L(r)(E,1)/r! |
Ω |
0.52387523935454 |
Real period |
R |
3.2053806237273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113230h1 |
Quadratic twists by: 13 |