Atkin-Lehner |
5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84835d |
Isogeny class |
Conductor |
84835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-378788275 = -1 · 52 · 193 · 472 |
Discriminant |
Eigenvalues |
-1 0 5- 4 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,934] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:21:1] |
Generators of the group modulo torsion |
j |
9261/55225 |
j-invariant |
L |
5.3208261286569 |
L(r)(E,1)/r! |
Ω |
1.3329069659474 |
Real period |
R |
1.9959480537148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84835c2 |
Quadratic twists by: -19 |