Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808bb |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-647212032 = -1 · 210 · 37 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 1 4 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3315,-73474] |
[a1,a2,a3,a4,a6] |
Generators |
[67:72:1] |
Generators of the group modulo torsion |
j |
-18674500/3 |
j-invariant |
L |
5.5232053396023 |
L(r)(E,1)/r! |
Ω |
0.31458969341763 |
Real period |
R |
2.1946067588863 |
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 |
41616p1 6936a1 20808bh1 |
Quadratic twists by: -4 -3 17 |