Atkin-Lehner |
2- 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048r |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-1.8114602947918E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 1 1 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119928,-6475548204] |
[a1,a2,a3,a4,a6] |
Generators |
[94602:10263249:8] |
Generators of the group modulo torsion |
j |
-46572457913061625/4422510485331591168 |
j-invariant |
L |
9.047766069349 |
L(r)(E,1)/r! |
Ω |
0.056054887263188 |
Real period |
R |
8.0704524723302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9006b1 |
Quadratic twists by: -4 |