Atkin-Lehner |
2- 3- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
78228b |
Isogeny class |
Conductor |
78228 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-1.3282728614526E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2705880,-1800711884] |
[a1,a2,a3,a4,a6] |
j |
-11740370877592576000/711737430047883 |
j-invariant |
L |
0.46920219546297 |
L(r)(E,1)/r! |
Ω |
0.058650278055249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26076e1 |
Quadratic twists by: -3 |