Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110864g |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-1095924434894848 = -1 · 215 · 138 · 41 |
Discriminant |
Eigenvalues |
2- 2 0 1 -6 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25632,-213760] |
[a1,a2,a3,a4,a6] |
Generators |
[113:2028:1] [554:13554:1] |
Generators of the group modulo torsion |
j |
557375/328 |
j-invariant |
L |
15.649155018734 |
L(r)(E,1)/r! |
Ω |
0.28773097426065 |
Real period |
R |
9.0646914530302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858i1 110864o1 |
Quadratic twists by: -4 13 |