Atkin-Lehner |
5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109265f |
Isogeny class |
Conductor |
109265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
20570920178680625 = 54 · 132 · 417 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151661536,718875451935] |
[a1,a2,a3,a4,a6] |
j |
81216996058270056529/4330625 |
j-invariant |
L |
0.83704520077547 |
L(r)(E,1)/r! |
Ω |
0.20926122303236 |
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 |
2665b1 |
Quadratic twists by: 41 |