Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400cg |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-62233920000000 = -1 · 212 · 34 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6992,307988] |
[a1,a2,a3,a4,a6] |
j |
590589719/972405 |
j-invariant |
L |
3.4014523727476 |
L(r)(E,1)/r! |
Ω |
0.42518154659345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
525a4 33600ez3 25200ei3 1680n4 |
Quadratic twists by: -4 8 -3 5 |