Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944d |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2952192 |
Modular degree for the optimal curve |
Δ |
-2.0419040992276E+21 |
Discriminant |
Eigenvalues |
2- 2 -1 -1 0 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3167776,-3070745943] |
[a1,a2,a3,a4,a6] |
Generators |
[18934874667024:610316748686431:7111117467] |
Generators of the group modulo torsion |
j |
-8310210304/4826809 |
j-invariant |
L |
7.8748177298176 |
L(r)(E,1)/r! |
Ω |
0.055108810527151 |
Real period |
R |
17.861975368571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99944i1 |
Quadratic twists by: -31 |