Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bh |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.0834992429295E+24 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270073587,1706915918770] |
[a1,a2,a3,a4,a6] |
j |
729596217166155478587889/697759680872204288 |
j-invariant |
L |
1.6430432359959 |
L(r)(E,1)/r! |
Ω |
0.082152161800187 |
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 |
3978f2 127296dx2 3536h2 |
Quadratic twists by: -4 8 -3 |