Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930q |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
37932125257728000 = 220 · 310 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87219,3260533] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:2654:1] |
Generators of the group modulo torsion |
j |
100654290922421809/52033093632000 |
j-invariant |
L |
4.8037773965106 |
L(r)(E,1)/r! |
Ω |
0.32123316098862 |
Real period |
R |
1.2461813774473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310h1 |
Quadratic twists by: -3 |