Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dp |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.2604732000275E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2675622376,34014727813940] |
[a1,a2,a3,a4,a6] |
j |
10993009831928446009969/3767761230468750000 |
j-invariant |
L |
0.94412827466248 |
L(r)(E,1)/r! |
Ω |
0.026225787106454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830e4 4560n4 |
Quadratic twists by: -4 -19 |