Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800bn |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-72659488320000000 = -1 · 212 · 37 · 57 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65967,-11232063] |
[a1,a2,a3,a4,a6] |
j |
496040751296/1135304505 |
j-invariant |
L |
1.4322928257263 |
L(r)(E,1)/r! |
Ω |
0.17903657828097 |
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 |
112800ce1 22560f1 |
Quadratic twists by: -4 5 |