Atkin-Lehner |
3+ 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31977c |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5276427655851 = -1 · 39 · 112 · 17 · 194 |
Discriminant |
Eigenvalues |
-1 3+ -2 2 11+ 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,214,-110564] |
[a1,a2,a3,a4,a6] |
j |
55306341/268070297 |
j-invariant |
L |
1.4157199706403 |
L(r)(E,1)/r! |
Ω |
0.35392999266048 |
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 |
31977f2 |
Quadratic twists by: -3 |