Atkin-Lehner |
2- 3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bm |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
120422400 |
Modular degree for the optimal curve |
Δ |
7.620384598506E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3449571368,-76842061973269] |
[a1,a2,a3,a4,a6] |
j |
6227182404370315104474636922681/104532024670864025220000000 |
j-invariant |
L |
1.2620595812862 |
L(r)(E,1)/r! |
Ω |
0.019719704797051 |
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 |
40890t1 |
Quadratic twists by: -3 |