Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976d |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-277554004992 = -1 · 210 · 32 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-968,-27552] |
[a1,a2,a3,a4,a6] |
j |
-98061470500/271048833 |
j-invariant |
L |
2.3816191418146 |
L(r)(E,1)/r! |
Ω |
0.39693652363576 |
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 |
4488d2 35904ci2 26928m2 98736o2 |
Quadratic twists by: -4 8 -3 -11 |