Atkin-Lehner |
3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537s |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4537344 |
Modular degree for the optimal curve |
Δ |
-114192253584709443 = -1 · 37 · 112 · 138 · 232 |
Discriminant |
Eigenvalues |
2 3- -4 5 11- 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,108750,8626745] |
[a1,a2,a3,a4,a6] |
j |
1175498678353793024/943737632931483 |
j-invariant |
L |
6.0045917811082 |
L(r)(E,1)/r! |
Ω |
0.2144497906382 |
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 |
108537t1 |
Quadratic twists by: -11 |