Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976o |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-100928729088 = -1 · 212 · 32 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11+ -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4309,-108515] |
[a1,a2,a3,a4,a6] |
j |
-2160697802752/24640803 |
j-invariant |
L |
0.58884635427737 |
L(r)(E,1)/r! |
Ω |
0.29442317713869 |
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 |
561b1 35904cv1 26928bv1 98736cn1 |
Quadratic twists by: -4 8 -3 -11 |