Atkin-Lehner |
2- 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
69936y |
Isogeny class |
Conductor |
69936 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5896800 |
Modular degree for the optimal curve |
Δ |
-7.5999105993378E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -4 3 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5207861,14028563043] |
[a1,a2,a3,a4,a6] |
j |
-3813660250234160840704/18554469236664453819 |
j-invariant |
L |
1.4170900525206 |
L(r)(E,1)/r! |
Ω |
0.094472671003475 |
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 |
4371a1 |
Quadratic twists by: -4 |