Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18880d |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4949278720000 = -1 · 227 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 5 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22401,1302401] |
[a1,a2,a3,a4,a6] |
j |
-4742478770401/18880000 |
j-invariant |
L |
3.0890194050746 |
L(r)(E,1)/r! |
Ω |
0.77225485126866 |
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 |
18880j1 590d1 94400x1 |
Quadratic twists by: -4 8 5 |