Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570g |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-12174358308000680 = -1 · 23 · 5 · 118 · 175 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11- 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9254,5298316] |
[a1,a2,a3,a4,a6] |
Generators |
[-1218:5449:8] |
Generators of the group modulo torsion |
j |
49471280711/6872107880 |
j-invariant |
L |
8.6066601627673 |
L(r)(E,1)/r! |
Ω |
0.30857068392634 |
Real period |
R |
4.6486702567105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850p1 1870d1 |
Quadratic twists by: 5 -11 |