Atkin-Lehner |
2+ 3+ 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190c |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
116097600 = 26 · 3 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-257,-1611] |
[a1,a2,a3,a4,a6] |
j |
1888690601881/116097600 |
j-invariant |
L |
2.3927342418269 |
L(r)(E,1)/r! |
Ω |
1.196367120901 |
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 |
114570bg1 |
Quadratic twists by: -3 |