Atkin-Lehner |
2+ 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130s |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
170646142500 = 22 · 37 · 54 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20880,-1155924] |
[a1,a2,a3,a4,a6] |
j |
1381018086938881/234082500 |
j-invariant |
L |
1.5886587176742 |
L(r)(E,1)/r! |
Ω |
0.39716445484448 |
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 |
40710bg1 |
Quadratic twists by: -3 |