Atkin-Lehner |
3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37107c |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8343552 |
Modular degree for the optimal curve |
Δ |
2.342417095475E+23 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91301805,-334958348952] |
[a1,a2,a3,a4,a6] |
j |
115460724105328254787849681/321319217486278221777 |
j-invariant |
L |
4.8848626657798 |
L(r)(E,1)/r! |
Ω |
0.048848626658325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369d1 |
Quadratic twists by: -3 |