Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144bm |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
36112564224 = 217 · 32 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7480,246356] |
[a1,a2,a3,a4,a6] |
Generators |
[44:66:1] |
Generators of the group modulo torsion |
j |
11301253512121/8816544 |
j-invariant |
L |
5.7695882370022 |
L(r)(E,1)/r! |
Ω |
1.1490643703681 |
Real period |
R |
0.41842653218477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518a1 48576ce1 36432bj1 |
Quadratic twists by: -4 8 -3 |