Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800en |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
5959104903475200 = 212 · 314 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 -1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2197515,1253845370] |
[a1,a2,a3,a4,a6] |
j |
15721420060947505/79827687 |
j-invariant |
L |
4.5228839817633 |
L(r)(E,1)/r! |
Ω |
0.37690699744639 |
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 |
5175d1 27600bm1 82800fj1 |
Quadratic twists by: -4 -3 5 |