Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976bc |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5615307472896 = 214 · 34 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6512,-169260] |
[a1,a2,a3,a4,a6] |
j |
7457162887153/1370924676 |
j-invariant |
L |
2.1527676985785 |
L(r)(E,1)/r! |
Ω |
0.53819192464463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1122h2 35904cf2 26928bp2 98736db2 |
Quadratic twists by: -4 8 -3 -11 |