Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20570p |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-30116537000 = -1 · 23 · 53 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- -2 11- -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-305,-8623] |
[a1,a2,a3,a4,a6] |
Generators |
[32:105:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
8.8561695587641 |
L(r)(E,1)/r! |
Ω |
0.49822603858752 |
Real period |
R |
0.98752249345737 |
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 |
102850f1 170d1 |
Quadratic twists by: 5 -11 |