Atkin-Lehner |
3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925d |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-4396997671875 = -1 · 39 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 1 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2700,-85219] |
[a1,a2,a3,a4,a6] |
j |
7077888/14297 |
j-invariant |
L |
1.6181936629469 |
L(r)(E,1)/r! |
Ω |
0.40454815978245 |
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 |
110925f1 4437b1 |
Quadratic twists by: -3 5 |