Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bq |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
10327957697433600 = 212 · 34 · 52 · 72 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8468880,9488908800] |
[a1,a2,a3,a4,a6] |
j |
16399920883612419432721/2521474047225 |
j-invariant |
L |
2.5461192659857 |
L(r)(E,1)/r! |
Ω |
0.3182650603439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
7455g3 |
Quadratic twists by: -4 |