Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800bs |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-719104000000 = -1 · 214 · 56 · 532 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,43663] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:200:1] [3:-200:1] |
Generators of the group modulo torsion |
j |
-810448/2809 |
j-invariant |
L |
7.4571017272457 |
L(r)(E,1)/r! |
Ω |
0.79068479205316 |
Real period |
R |
1.1788992595213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800g2 21200r2 3392r2 |
Quadratic twists by: -4 8 5 |