Atkin-Lehner |
2+ 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502a |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-16962264 = -1 · 23 · 33 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 11+ 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60,72] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-18:1] |
Generators of the group modulo torsion |
j |
658503/472 |
j-invariant |
L |
3.0451244673088 |
L(r)(E,1)/r! |
Ω |
1.3931447352901 |
Real period |
R |
0.54644798045089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998653866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502bf1 128502bd1 |
Quadratic twists by: -3 -11 |