Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570f |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-18021735740800000 = -1 · 210 · 55 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64712,1236667] |
[a1,a2,a3,a4,a6] |
Generators |
[25:1681:1] |
Generators of the group modulo torsion |
j |
16917195186711/10172800000 |
j-invariant |
L |
7.1969310699887 |
L(r)(E,1)/r! |
Ω |
0.23785576836415 |
Real period |
R |
1.512877135477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102850m1 1870a1 |
Quadratic twists by: 5 -11 |