Atkin-Lehner |
2- 3- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12948a |
Isogeny class |
Conductor |
12948 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
3642270047802564048 = 24 · 326 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561293,133104624] |
[a1,a2,a3,a4,a6] |
Generators |
[880:17928:1] |
Generators of the group modulo torsion |
j |
1222287531158290432000/227641877987660253 |
j-invariant |
L |
5.4642719635605 |
L(r)(E,1)/r! |
Ω |
0.23702335126155 |
Real period |
R |
1.773363722791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51792h1 38844d1 |
Quadratic twists by: -4 -3 |