Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cp |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
189687398400 = 222 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1985,26175] |
[a1,a2,a3,a4,a6] |
j |
3301293169/723600 |
j-invariant |
L |
5.7110485784332 |
L(r)(E,1)/r! |
Ω |
0.95184143030376 |
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 |
64320s1 16080q1 |
Quadratic twists by: -4 8 |