Atkin-Lehner |
2- 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117438n |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
556600 |
Modular degree for the optimal curve |
Δ |
-1940584408522542 = -1 · 2 · 311 · 236 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -1 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8982,-2090235] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
0.22633433030851 |
L(r)(E,1)/r! |
Ω |
0.22633462378946 |
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 |
222b1 |
Quadratic twists by: -23 |