Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800bw |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30276000000000000 = 214 · 32 · 512 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107008,10592512] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:4416:1] |
Generators of the group modulo torsion |
j |
2117368939321/473062500 |
j-invariant |
L |
5.5043407514244 |
L(r)(E,1)/r! |
Ω |
0.35041153462006 |
Real period |
R |
3.9270544828043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4350u2 104400dm2 6960bl2 |
Quadratic twists by: -4 -3 5 |