Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600dq |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
49884595200000000 = 216 · 311 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5016675,-4324846750] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
0.80702249991603 |
L(r)(E,1)/r! |
Ω |
0.10087781249384 |
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 |
4950h1 13200bg1 7920bj1 |
Quadratic twists by: -4 -3 5 |