Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800fh |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
15090300000000 = 28 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,-58750] |
[a1,a2,a3,a4,a6] |
j |
393040/207 |
j-invariant |
L |
3.4003550097948 |
L(r)(E,1)/r! |
Ω |
0.56672583314951 |
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 |
20700u1 27600ce1 82800eo1 |
Quadratic twists by: -4 -3 5 |