Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504v |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-229934445312 = -1 · 28 · 3 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1412,-10276] |
[a1,a2,a3,a4,a6] |
j |
686000/507 |
j-invariant |
L |
1.1125392568096 |
L(r)(E,1)/r! |
Ω |
0.55626963101477 |
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 |
37752s2 624d2 |
Quadratic twists by: -4 -11 |