Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080cp |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1958805504000000 = 222 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96492,-11338576] |
[a1,a2,a3,a4,a6] |
j |
519912412921/10250000 |
j-invariant |
L |
3.254453610654 |
L(r)(E,1)/r! |
Ω |
0.27120455844027 |
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 |
118080gb1 3690r1 13120c1 |
Quadratic twists by: -4 8 -3 |