Atkin-Lehner |
3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56277g |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2442300225866163 = -1 · 37 · 138 · 372 |
Discriminant |
Eigenvalues |
-1 3- -2 4 -2 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9094,-2356428] |
[a1,a2,a3,a4,a6] |
j |
23639903/694083 |
j-invariant |
L |
1.7703311676173 |
L(r)(E,1)/r! |
Ω |
0.22129139594094 |
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 |
18759d2 4329d2 |
Quadratic twists by: -3 13 |