Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bp |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-2.6533191569092E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 11- 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-122008,-248412356] |
[a1,a2,a3,a4,a6] |
Generators |
[40336835:929878046:42875] |
Generators of the group modulo torsion |
j |
-59969536/7921875 |
j-invariant |
L |
4.9027484936775 |
L(r)(E,1)/r! |
Ω |
0.093829254365631 |
Real period |
R |
13.062952998825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998672282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595h1 117975cd1 |
Quadratic twists by: 5 -11 |