Atkin-Lehner |
2- 3- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330bh |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-13879664280 = -1 · 23 · 39 · 5 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 4 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1418,-20959] |
[a1,a2,a3,a4,a6] |
j |
-432252699481/19039320 |
j-invariant |
L |
4.6562751405435 |
L(r)(E,1)/r! |
Ω |
0.3880229378153 |
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 |
31110m1 |
Quadratic twists by: -3 |