Atkin-Lehner |
2+ 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582c |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-60021721002261304 = -1 · 23 · 113 · 133 · 376 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41977,-12246732] |
[a1,a2,a3,a4,a6] |
j |
-8179806526772756617/60021721002261304 |
j-invariant |
L |
0.88571435787045 |
L(r)(E,1)/r! |
Ω |
0.14761905964508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84656t2 95238ck2 116402bc2 |
Quadratic twists by: -4 -3 -11 |