Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600en |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-23648993280000 = -1 · 219 · 38 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,236050] |
[a1,a2,a3,a4,a6] |
j |
-390625/12672 |
j-invariant |
L |
2.2513589947151 |
L(r)(E,1)/r! |
Ω |
0.56283974867919 |
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 |
4950v1 13200cu1 39600dh1 |
Quadratic twists by: -4 -3 5 |