Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45920c |
Isogeny class |
Conductor |
45920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
80360000 = 26 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-686,7136] |
[a1,a2,a3,a4,a6] |
j |
558661848256/1255625 |
j-invariant |
L |
3.8614573216326 |
L(r)(E,1)/r! |
Ω |
1.9307286608855 |
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 |
45920a1 91840bq1 |
Quadratic twists by: -4 8 |