Atkin-Lehner |
2- 11+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656o |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-49488688304 = -1 · 24 · 114 · 173 · 43 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11+ 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,179,10604] |
[a1,a2,a3,a4,a6] |
Generators |
[26:847:8] |
Generators of the group modulo torsion |
j |
39421607936/3093043019 |
j-invariant |
L |
4.4033498967364 |
L(r)(E,1)/r! |
Ω |
0.86231403279781 |
Real period |
R |
2.5532170999681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32164c1 |
Quadratic twists by: -4 |