Atkin-Lehner |
2- 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900u |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
206875012500000000 = 28 · 35 · 511 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-372133,-84716137] |
[a1,a2,a3,a4,a6] |
j |
1424818154438656/51718753125 |
j-invariant |
L |
3.8745683319558 |
L(r)(E,1)/r! |
Ω |
0.19372839535021 |
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 |
24180b1 |
Quadratic twists by: 5 |