Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360ct |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
34007040000 = 214 · 34 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4561,-119761] |
[a1,a2,a3,a4,a6] |
j |
640588599376/2075625 |
j-invariant |
L |
4.6483754017121 |
L(r)(E,1)/r! |
Ω |
0.581046925221 |
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 |
39360i1 9840f1 118080fp1 |
Quadratic twists by: -4 8 -3 |