Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19880f |
Isogeny class |
Conductor |
19880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34048 |
Modular degree for the optimal curve |
Δ |
-5313894736640 = -1 · 28 · 5 · 77 · 712 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3639,-70645] |
[a1,a2,a3,a4,a6] |
j |
20811844084736/20757401315 |
j-invariant |
L |
1.6629028138011 |
L(r)(E,1)/r! |
Ω |
0.41572570345027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39760e1 99400d1 |
Quadratic twists by: -4 5 |