Atkin-Lehner |
2- 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930u |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-289346218200 = -1 · 23 · 33 · 52 · 133 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-893,-27619] |
[a1,a2,a3,a4,a6] |
j |
-2913790403187/10716526600 |
j-invariant |
L |
4.8006241172414 |
L(r)(E,1)/r! |
Ω |
0.40005200977042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33930e2 |
Quadratic twists by: -3 |