Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32568f |
Isogeny class |
Conductor |
32568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
95880192 = 210 · 3 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3768,-87780] |
[a1,a2,a3,a4,a6] |
j |
5779252790500/93633 |
j-invariant |
L |
2.4373766158226 |
L(r)(E,1)/r! |
Ω |
0.60934415395367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65136c2 97704b2 |
Quadratic twists by: -4 -3 |