Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31790g |
Isogeny class |
Conductor |
31790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-165875978128943720 = -1 · 23 · 5 · 112 · 1711 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 11+ -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22103,-19545139] |
[a1,a2,a3,a4,a6] |
j |
49471280711/6872107880 |
j-invariant |
L |
0.61013045013012 |
L(r)(E,1)/r! |
Ω |
0.15253261253241 |
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 |
1870d1 |
Quadratic twists by: 17 |