Atkin-Lehner |
5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6355a |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-394394775390625 = -1 · 512 · 312 · 412 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 -2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8221,994204] |
[a1,a2,a3,a4,a6] |
j |
-61447038779208529/394394775390625 |
j-invariant |
L |
0.91975149701767 |
L(r)(E,1)/r! |
Ω |
0.45987574850884 |
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 |
101680p2 57195s2 31775b2 |
Quadratic twists by: -4 -3 5 |