Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720bb |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3829248 |
Modular degree for the optimal curve |
Δ |
-629216000000000 = -1 · 214 · 59 · 7 · 532 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 3 -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3413632,-2427578144] |
[a1,a2,a3,a4,a6] |
j |
-268505926473006710784/38404296875 |
j-invariant |
L |
0.99962790073195 |
L(r)(E,1)/r! |
Ω |
0.055534821466022 |
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 |
118720n1 29680h1 |
Quadratic twists by: -4 8 |