Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ee |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
9853747200000000 = 220 · 37 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81075,-7492750] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
2.2891614087969 |
L(r)(E,1)/r! |
Ω |
0.28614517610322 |
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 |
4950l1 13200bn1 7920be1 |
Quadratic twists by: -4 -3 5 |