Atkin-Lehner |
2+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482g |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.2361238380056E+24 |
Discriminant |
Eigenvalues |
2+ 2 4 4 11- 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-226936833,-1314854445835] |
[a1,a2,a3,a4,a6] |
j |
729596217166155478587889/697759680872204288 |
j-invariant |
L |
6.2239805266704 |
L(r)(E,1)/r! |
Ω |
0.038899878307223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442e2 |
Quadratic twists by: -11 |