Atkin-Lehner |
2- 3+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134ba |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-2193267621888 = -1 · 220 · 34 · 72 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2534,85475] |
[a1,a2,a3,a4,a6] |
Generators |
[261:-4289:1] [-31:383:1] |
Generators of the group modulo torsion |
j |
-1799509962743137/2193267621888 |
j-invariant |
L |
8.5803503867298 |
L(r)(E,1)/r! |
Ω |
0.74413429096545 |
Real period |
R |
0.57653238742698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402n1 |
Quadratic twists by: -3 |