Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722da |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-104152928238019584 = -1 · 210 · 310 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,78930,12951252] |
[a1,a2,a3,a4,a6] |
j |
43307231/82944 |
j-invariant |
L |
1.8485690960574 |
L(r)(E,1)/r! |
Ω |
0.23107110663503 |
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 |
35574da1 2178e1 106722gp1 |
Quadratic twists by: -3 -7 -11 |