Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800l |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-339494880000000 = -1 · 211 · 3 · 57 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8992,820512] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:650:1] [133:2086:1] |
Generators of the group modulo torsion |
j |
2512432078/10609215 |
j-invariant |
L |
6.6031450506687 |
L(r)(E,1)/r! |
Ω |
0.38615215984676 |
Real period |
R |
8.5499263467662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17400bn4 104400x3 6960t4 |
Quadratic twists by: -4 -3 5 |