Atkin-Lehner |
2+ 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774v |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8560640 |
Modular degree for the optimal curve |
Δ |
1.0304292075568E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17381187,-27455930667] |
[a1,a2,a3,a4,a6] |
j |
796589346774759734904625/14134831379380174848 |
j-invariant |
L |
0.59215766877906 |
L(r)(E,1)/r! |
Ω |
0.074019705109137 |
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 |
27258bo1 |
Quadratic twists by: -3 |