Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114f |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1172729071815355908 = 22 · 314 · 711 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-460429,108186793] |
[a1,a2,a3,a4,a6] |
Generators |
[624:7709:1] |
Generators of the group modulo torsion |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
3.2671734464856 |
L(r)(E,1)/r! |
Ω |
0.26556159238379 |
Real period |
R |
6.1514419633467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912ch1 27342bp1 1302f1 |
Quadratic twists by: -4 -3 -7 |