Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688h |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-149571282340608 = -1 · 28 · 3 · 417 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -1 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22413,-1411791] |
[a1,a2,a3,a4,a6] |
j |
-1024000/123 |
j-invariant |
L |
0.77515209180857 |
L(r)(E,1)/r! |
Ω |
0.19378803993672 |
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 |
20172f1 1968n1 |
Quadratic twists by: -4 41 |