Atkin-Lehner |
3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759f |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42432 |
Modular degree for the optimal curve |
Δ |
-3350206071147 = -1 · 3 · 138 · 372 |
Discriminant |
Eigenvalues |
0 3+ 4 -1 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16111,797409] |
[a1,a2,a3,a4,a6] |
j |
-566984704/4107 |
j-invariant |
L |
1.5964615867408 |
L(r)(E,1)/r! |
Ω |
0.79823079337041 |
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 |
56277j1 18759b1 |
Quadratic twists by: -3 13 |