Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17800h |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-14240000000 = -1 · 211 · 57 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 1 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,-1312] |
[a1,a2,a3,a4,a6] |
j |
715822/445 |
j-invariant |
L |
2.8871549949166 |
L(r)(E,1)/r! |
Ω |
0.72178874872916 |
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 |
35600b1 3560b1 |
Quadratic twists by: -4 5 |