Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cf |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3336358388382720 = 210 · 36 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6585723,6505089318] |
[a1,a2,a3,a4,a6] |
j |
899466517764/95 |
j-invariant |
L |
2.7563998135043 |
L(r)(E,1)/r! |
Ω |
0.34455006105222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440e3 6840d3 |
Quadratic twists by: -3 -19 |