Atkin-Lehner |
2+ 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330h |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36126720 |
Modular degree for the optimal curve |
Δ |
-1.8160071654669E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-913345380,10820563310160] |
[a1,a2,a3,a4,a6] |
j |
-115584950942853977541113570881/2491093505441506976133120 |
j-invariant |
L |
0.18789436143358 |
L(r)(E,1)/r! |
Ω |
0.046973590350298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bp1 |
Quadratic twists by: -3 |