Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600br |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-891648000000000 = -1 · 217 · 34 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 5 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18008,-1705488] |
[a1,a2,a3,a4,a6] |
j |
-10091699281/13932000 |
j-invariant |
L |
3.1384651217096 |
L(r)(E,1)/r! |
Ω |
0.19615407007353 |
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 |
6450l1 10320bh1 |
Quadratic twists by: -4 5 |