Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400i |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4008960 |
Modular degree for the optimal curve |
Δ |
-2.9566842100355E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2587917,2067097662] |
[a1,a2,a3,a4,a6] |
j |
12267457122867200/18922778944227 |
j-invariant |
L |
1.747285772585 |
L(r)(E,1)/r! |
Ω |
0.097071432594355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200l1 80400bl1 |
Quadratic twists by: -4 5 |