Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768cj |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31933440 |
Modular degree for the optimal curve |
Δ |
-3.8371137569089E+25 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 0 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78773537,-401518925631] |
[a1,a2,a3,a4,a6] |
j |
-206217175431046614741577/146374273563726011904 |
j-invariant |
L |
0.44225935595703 |
L(r)(E,1)/r! |
Ω |
0.024569930949247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768be1 30192bd1 |
Quadratic twists by: -4 8 |