Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800es |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
1768394531250000 = 24 · 39 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37200,-1879625] |
[a1,a2,a3,a4,a6] |
j |
31238127616/9703125 |
j-invariant |
L |
0.7042457417462 |
L(r)(E,1)/r! |
Ω |
0.35212282583927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20700m1 27600cr1 16560bm1 |
Quadratic twists by: -4 -3 5 |