Atkin-Lehner |
2+ 3- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370u |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-3.3002178481934E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1819611,-2597923827] |
[a1,a2,a3,a4,a6] |
j |
913969515015642897071/4527047802734375000 |
j-invariant |
L |
1.992214883325 |
L(r)(E,1)/r! |
Ω |
0.07115053067154 |
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 |
8930j1 |
Quadratic twists by: -3 |