Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496t |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
134718458112 = 28 · 32 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73124,7586592] |
[a1,a2,a3,a4,a6] |
j |
1435758069328/4473 |
j-invariant |
L |
1.8100889536835 |
L(r)(E,1)/r! |
Ω |
0.90504449483669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11928i1 |
Quadratic twists by: -7 |