Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768di |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-26777894436864 = -1 · 214 · 35 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -1 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-721301,-236029389] |
[a1,a2,a3,a4,a6] |
j |
-2533109582445346816/1634392971 |
j-invariant |
L |
0.81910562898143 |
L(r)(E,1)/r! |
Ω |
0.081910647392431 |
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 |
120768e1 30192j1 |
Quadratic twists by: -4 8 |