Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768be |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
22 |
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 |
1.313081883702 |
L(r)(E,1)/r! |
Ω |
0.059685525513617 |
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 |
120768cj1 3774f1 |
Quadratic twists by: -4 8 |