Atkin-Lehner |
3- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203i |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
968192 |
Modular degree for the optimal curve |
Δ |
3252073525762533 = 3 · 319 · 41 |
Discriminant |
Eigenvalues |
0 3- 4 4 2 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-39721,1312183] |
[a1,a2,a3,a4,a6] |
j |
262144/123 |
j-invariant |
L |
7.1969389083731 |
L(r)(E,1)/r! |
Ω |
0.39982986716829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118203c1 |
Quadratic twists by: -31 |