Atkin-Lehner |
3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13113g |
Isogeny class |
Conductor |
13113 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
655200 |
Modular degree for the optimal curve |
Δ |
-1.3526208073528E+22 |
Discriminant |
Eigenvalues |
0 3- 1 -3 -4 3 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2929422,5919032389] |
[a1,a2,a3,a4,a6] |
j |
-3813660250234160840704/18554469236664453819 |
j-invariant |
L |
1.5272270169777 |
L(r)(E,1)/r! |
Ω |
0.10908764406984 |
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: -3 |