Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bo |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
504600000000 = 29 · 3 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2008,4988] |
[a1,a2,a3,a4,a6] |
Generators |
[794:7125:8] |
Generators of the group modulo torsion |
j |
111980168/63075 |
j-invariant |
L |
5.9970677097402 |
L(r)(E,1)/r! |
Ω |
0.80187289902252 |
Real period |
R |
3.7394128901906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600b2 13920d2 |
Quadratic twists by: -4 5 |