Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600cb |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
26375220000000000 = 211 · 39 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136875,-17856250] |
[a1,a2,a3,a4,a6] |
j |
19450850/1809 |
j-invariant |
L |
0.99875323152595 |
L(r)(E,1)/r! |
Ω |
0.24968863655042 |
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 |
40200f1 120600z1 |
Quadratic twists by: -3 5 |