Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93138bl |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
2243460743463936 = 210 · 3 · 198 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-346387,78405665] |
[a1,a2,a3,a4,a6] |
Generators |
[-548:10459:1] |
Generators of the group modulo torsion |
j |
97698284547193/47686656 |
j-invariant |
L |
14.118921558335 |
L(r)(E,1)/r! |
Ω |
0.45517535809692 |
Real period |
R |
6.2037284360165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902d1 |
Quadratic twists by: -19 |