Atkin-Lehner |
3- 5- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185z |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
319807488 |
Modular degree for the optimal curve |
Δ |
1.2138800592332E+29 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-136815487389,19478325017584440] |
[a1,a2,a3,a4,a6] |
j |
388509792270658385415679324425374929/166513039675332689728111905 |
j-invariant |
L |
0.37728915672855 |
L(r)(E,1)/r! |
Ω |
0.026949226272919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395k1 |
Quadratic twists by: -3 |