Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bl |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
105718701441600 = 26 · 34 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14590,469000] |
[a1,a2,a3,a4,a6] |
Generators |
[-11305:127512:125] |
Generators of the group modulo torsion |
j |
1111934656/342225 |
j-invariant |
L |
8.0493763658145 |
L(r)(E,1)/r! |
Ω |
0.55160684616282 |
Real period |
R |
7.2962984595131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002466 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120cc1 6240b1 |
Quadratic twists by: -4 13 |