Atkin-Lehner |
2+ 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682v |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5162443252722302976 = -1 · 221 · 39 · 112 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7641,109314301] |
[a1,a2,a3,a4,a6] |
j |
67672903684751/7081540813062144 |
j-invariant |
L |
2.300571438865 |
L(r)(E,1)/r! |
Ω |
0.19171425475318 |
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 |
36894u1 |
Quadratic twists by: -3 |