Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600gd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2823576000 = -1 · 26 · 3 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,-2568] |
[a1,a2,a3,a4,a6] |
j |
64/3 |
j-invariant |
L |
1.372641833284 |
L(r)(E,1)/r! |
Ω |
0.68632139961667 |
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 |
117600ig1 117600ed1 2400bf1 |
Quadratic twists by: -4 5 -7 |