Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673b |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-199034426263131 = -1 · 39 · 17 · 296 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22707,-1481632] |
[a1,a2,a3,a4,a6] |
Generators |
[522:11353:1] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
2.1595437657917 |
L(r)(E,1)/r! |
Ω |
0.19282580254901 |
Real period |
R |
1.3999317997213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999232735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673d1 153d1 |
Quadratic twists by: -3 29 |