Atkin-Lehner |
2- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056n |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-475625684992 = -1 · 223 · 312 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 5 3 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,41247] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-128:1] |
Generators of the group modulo torsion |
j |
-1838265625/1814368 |
j-invariant |
L |
6.1623522431397 |
L(r)(E,1)/r! |
Ω |
0.85112973400545 |
Real period |
R |
0.9050253947146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117056f1 29264d1 |
Quadratic twists by: -4 8 |