Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478z |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
68947200 |
Modular degree for the optimal curve |
Δ |
-1.4952459300278E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21191782887,1187411621515645] |
[a1,a2,a3,a4,a6] |
j |
-235484681972809299625/3345408 |
j-invariant |
L |
1.0159802920726 |
L(r)(E,1)/r! |
Ω |
0.063498768185308 |
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 |
23826x1 71478cf1 |
Quadratic twists by: -3 -19 |