Atkin-Lehner |
2- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
106964a |
Isogeny class |
Conductor |
106964 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-293086937099537152 = -1 · 28 · 119 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 -1 11+ 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35493,26185601] |
[a1,a2,a3,a4,a6] |
j |
-8192000/485537 |
j-invariant |
L |
3.0528313642526 |
L(r)(E,1)/r! |
Ω |
0.25440262018747 |
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 |
106964b1 |
Quadratic twists by: -11 |