Atkin-Lehner |
3+ 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119325c |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20390400 |
Modular degree for the optimal curve |
Δ |
-1.9361614907417E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 4 5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-510951533,4445640264968] |
[a1,a2,a3,a4,a6] |
j |
-944153932700928158029840384/12391433540746875 |
j-invariant |
L |
2.0261247132604 |
L(r)(E,1)/r! |
Ω |
0.12663274672194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23865d1 |
Quadratic twists by: 5 |