Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120bk |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1259520 |
Modular degree for the optimal curve |
Δ |
-25798300549120000 = -1 · 217 · 54 · 11 · 315 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11+ 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875212,-988409584] |
[a1,a2,a3,a4,a6] |
j |
-5563715398863351858/196825413125 |
j-invariant |
L |
2.5802748803471 |
L(r)(E,1)/r! |
Ω |
0.064506881026939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109120n1 27280d1 |
Quadratic twists by: -4 8 |