Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800n |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-175178700000000 = -1 · 28 · 39 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34033,-2510437] |
[a1,a2,a3,a4,a6] |
j |
-1089876235264/43794675 |
j-invariant |
L |
3.1560542660767 |
L(r)(E,1)/r! |
Ω |
0.17533637227223 |
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 |
53400p1 21360b1 |
Quadratic twists by: -4 5 |