Atkin-Lehner |
2- 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810de |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
55764627187500000 = 25 · 36 · 510 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3100883,-2100920173] |
[a1,a2,a3,a4,a6] |
j |
4523266674125013202921/76494687500000 |
j-invariant |
L |
2.2754047272325 |
L(r)(E,1)/r! |
Ω |
0.1137702366031 |
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 |
13090g2 |
Quadratic twists by: -3 |