Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400d |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-54067500000000 = -1 · 28 · 35 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9167,102037] |
[a1,a2,a3,a4,a6] |
j |
34073600/21627 |
j-invariant |
L |
1.5663432092498 |
L(r)(E,1)/r! |
Ω |
0.39158580220247 |
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 |
106800t1 53400v1 |
Quadratic twists by: -4 5 |