Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3536h |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.8580236528525E+21 |
Discriminant |
Eigenvalues |
2- -2 4 4 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30008176,-63229110828] |
[a1,a2,a3,a4,a6] |
j |
729596217166155478587889/697759680872204288 |
j-invariant |
L |
2.3222934132398 |
L(r)(E,1)/r! |
Ω |
0.064508150367771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442e2 14144v2 31824bh2 88400bs2 |
Quadratic twists by: -4 8 -3 5 |