Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450o |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-32417920000000 = -1 · 213 · 57 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5+ -5 -3 2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55442,-5018284] |
[a1,a2,a3,a4,a6] |
j |
-23813300133/40960 |
j-invariant |
L |
0.62219239989804 |
L(r)(E,1)/r! |
Ω |
0.15554809547815 |
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 |
13690j1 68450bg1 |
Quadratic twists by: 5 37 |