Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192bb |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-8126368579584 = -1 · 220 · 32 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 5 3 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3624,-107244] |
[a1,a2,a3,a4,a6] |
j |
1284720006311/1983976704 |
j-invariant |
L |
4.6770360447026 |
L(r)(E,1)/r! |
Ω |
0.38975300372527 |
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 |
3774d1 120768cc1 90576by1 |
Quadratic twists by: -4 8 -3 |