Atkin-Lehner |
2+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120r |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
11526144819200000 = 218 · 55 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1061665,421368225] |
[a1,a2,a3,a4,a6] |
j |
504831795225826249/43968753125 |
j-invariant |
L |
7.6961556515343 |
L(r)(E,1)/r! |
Ω |
0.38480779613506 |
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 |
109120bh2 1705a2 |
Quadratic twists by: -4 8 |