Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ez |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-6725025000000 = -1 · 26 · 38 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2553,114464] |
[a1,a2,a3,a4,a6] |
j |
39442883264/144140625 |
j-invariant |
L |
4.2589641178189 |
L(r)(E,1)/r! |
Ω |
0.53237046553221 |
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 |
118080fc1 59040f2 39360bs1 |
Quadratic twists by: -4 8 -3 |