Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326v |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-4174084871264 = -1 · 25 · 78 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11- -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3137,-119575] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2595:1] |
Generators of the group modulo torsion |
j |
-592231633/724064 |
j-invariant |
L |
9.8587488657775 |
L(r)(E,1)/r! |
Ω |
0.30479199785311 |
Real period |
R |
0.71879612874211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326bf1 |
Quadratic twists by: -7 |