Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48598i |
Isogeny class |
Conductor |
48598 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
189504 |
Modular degree for the optimal curve |
Δ |
2095393226234968 = 23 · 11 · 478 |
Discriminant |
Eigenvalues |
2- 0 0 1 11- 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32445,465581] |
[a1,a2,a3,a4,a6] |
j |
158625/88 |
j-invariant |
L |
3.6227368150081 |
L(r)(E,1)/r! |
Ω |
0.40252631278839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48598f1 |
Quadratic twists by: -47 |