Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bm |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2626167507200 = -1 · 28 · 52 · 177 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3372,18892] |
[a1,a2,a3,a4,a6] |
j |
27440/17 |
j-invariant |
L |
2.0038540092114 |
L(r)(E,1)/r! |
Ω |
0.50096368721209 |
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 |
28900c1 115600co1 6800q1 |
Quadratic twists by: -4 5 17 |