Atkin-Lehner |
2+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19880c |
Isogeny class |
Conductor |
19880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-818601742000 = -1 · 24 · 53 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2158,-20151] |
[a1,a2,a3,a4,a6] |
j |
69463722092544/51162608875 |
j-invariant |
L |
1.5018912458003 |
L(r)(E,1)/r! |
Ω |
0.50063041526675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39760j1 99400n1 |
Quadratic twists by: -4 5 |