Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160bb |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
193024000 = 212 · 53 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 1 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-12643] |
[a1,a2,a3,a4,a6] |
j |
30840979456/47125 |
j-invariant |
L |
2.5191090274762 |
L(r)(E,1)/r! |
Ω |
0.83970300915957 |
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 |
1885e1 120640bz1 |
Quadratic twists by: -4 8 |