Atkin-Lehner |
2- 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bp |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
33619968 |
Modular degree for the optimal curve |
Δ |
5.7628010465404E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1092273904,13894211970260] |
[a1,a2,a3,a4,a6] |
j |
35185071518153330625706314097/14069338492530327552 |
j-invariant |
L |
1.6280373467377 |
L(r)(E,1)/r! |
Ω |
0.090446517043448 |
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 |
12558p1 |
Quadratic twists by: -4 |