Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400ch |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1868184000 = -1 · 26 · 35 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,302,-608] |
[a1,a2,a3,a4,a6] |
j |
379503424/233523 |
j-invariant |
L |
1.7141735067988 |
L(r)(E,1)/r! |
Ω |
0.85708674128423 |
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 |
74400bl1 74400bp1 |
Quadratic twists by: -4 5 |