Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35600t |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-5696000000 = -1 · 212 · 56 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 2 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-4688] |
[a1,a2,a3,a4,a6] |
j |
-117649/89 |
j-invariant |
L |
1.0283014949697 |
L(r)(E,1)/r! |
Ω |
0.5141507475023 |
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 |
2225a1 1424b1 |
Quadratic twists by: -4 5 |