Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516l |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
16118784 |
Modular degree for the optimal curve |
Δ |
-1.627337779178E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- -1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95522764,359362947524] |
[a1,a2,a3,a4,a6] |
Generators |
[8240:363042:1] |
Generators of the group modulo torsion |
j |
-1756559687453670352/296548860969 |
j-invariant |
L |
12.834926121485 |
L(r)(E,1)/r! |
Ω |
0.11985634815048 |
Real period |
R |
1.1154782265001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120516g1 |
Quadratic twists by: -11 |