Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925cc |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
54272 |
Modular degree for the optimal curve |
Δ |
-3908442375 = -1 · 37 · 53 · 17 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 4 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-387,-4104] |
[a1,a2,a3,a4,a6] |
Generators |
[437448:7688028:1331] |
Generators of the group modulo torsion |
j |
-70444997/42891 |
j-invariant |
L |
9.9775087320118 |
L(r)(E,1)/r! |
Ω |
0.52360113776195 |
Real period |
R |
9.527776032203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36975bd1 110925bw1 |
Quadratic twists by: -3 5 |