Atkin-Lehner |
3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925bn |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
-3305174782974046875 = -1 · 311 · 56 · 175 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 3 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1365825,-620580344] |
[a1,a2,a3,a4,a6] |
j |
-24737814642405376/290166236091 |
j-invariant |
L |
1.3955556106239 |
L(r)(E,1)/r! |
Ω |
0.069777819068417 |
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 |
36975e1 4437h1 |
Quadratic twists by: -3 5 |