Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820j |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-548903174400 = -1 · 28 · 36 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1617,25382] |
[a1,a2,a3,a4,a6] |
j |
21296/25 |
j-invariant |
L |
1.2326583694266 |
L(r)(E,1)/r! |
Ω |
0.6163291847133 |
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 |
35280dz2 980g2 44100bg2 180a2 |
Quadratic twists by: -4 -3 5 -7 |