Atkin-Lehner |
2- 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090bm |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1131624000 = 26 · 33 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2145,38025] |
[a1,a2,a3,a4,a6] |
j |
1091486216929681/1131624000 |
j-invariant |
L |
4.615470531987 |
L(r)(E,1)/r! |
Ω |
1.538490177329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
96720ck1 36270w1 60450h1 |
Quadratic twists by: -4 -3 5 |