Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810q |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
49701600 |
Modular degree for the optimal curve |
Δ |
4.0360443364347E+26 |
Discriminant |
Eigenvalues |
2- 3 5- -2 -2 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3052868982,64918329321349] |
[a1,a2,a3,a4,a6] |
j |
21430490829693039441/2748779069440 |
j-invariant |
L |
8.0024347832487 |
L(r)(E,1)/r! |
Ω |
0.051297658866923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810g1 |
Quadratic twists by: -59 |