Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60564h |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
256510585296 = 24 · 33 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45537,-3755340] |
[a1,a2,a3,a4,a6] |
j |
5547767775232/136269 |
j-invariant |
L |
3.9218370228795 |
L(r)(E,1)/r! |
Ω |
0.32681975196467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8652c1 |
Quadratic twists by: -7 |