Atkin-Lehner |
2+ 5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550t |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
259246451406250000 = 24 · 510 · 72 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-209917,-27701259] |
[a1,a2,a3,a4,a6] |
j |
65470805339397921/16591772890000 |
j-invariant |
L |
1.8176230162817 |
L(r)(E,1)/r! |
Ω |
0.2272028804747 |
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 |
17710i2 |
Quadratic twists by: 5 |