Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480dd |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-606076928000 = -1 · 224 · 53 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2561,-61535] |
[a1,a2,a3,a4,a6] |
j |
-24529249/8000 |
j-invariant |
L |
1.3202860478672 |
L(r)(E,1)/r! |
Ω |
0.3300715151376 |
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 |
92480e1 23120bd1 92480ei1 |
Quadratic twists by: -4 8 17 |