Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800el |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-229903738560000000 = -1 · 212 · 310 · 57 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,106800,-18754000] |
[a1,a2,a3,a4,a6] |
j |
2887553024/4927635 |
j-invariant |
L |
3.9597365988982 |
L(r)(E,1)/r! |
Ω |
0.16498902154424 |
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 |
5175g1 27600bk1 16560bl1 |
Quadratic twists by: -4 -3 5 |