Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520bd |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11636352 |
Modular degree for the optimal curve |
Δ |
-2.1803961802778E+22 |
Discriminant |
Eigenvalues |
2- 0 5- -5 3 2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48576227,130505327074] |
[a1,a2,a3,a4,a6] |
j |
-23813300133/40960 |
j-invariant |
L |
0.96644009868328 |
L(r)(E,1)/r! |
Ω |
0.12080504884719 |
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 |
13690f1 109520p1 |
Quadratic twists by: -4 37 |