Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570l |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-152844673042350080 = -1 · 223 · 5 · 118 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 11- 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4457058,3622930017] |
[a1,a2,a3,a4,a6] |
Generators |
[1345:-8417:1] |
Generators of the group modulo torsion |
j |
-5527291469021688969/86276833280 |
j-invariant |
L |
4.5002908762729 |
L(r)(E,1)/r! |
Ω |
0.29725976024075 |
Real period |
R |
0.32911420729978 |
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 |
102850ba1 1870c1 |
Quadratic twists by: 5 -11 |