Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cy |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
97731066221568 = 210 · 32 · 139 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-495733,134178539] |
[a1,a2,a3,a4,a6] |
Generators |
[9470:1231503:125] |
Generators of the group modulo torsion |
j |
2725888000000/19773 |
j-invariant |
L |
7.2973863121764 |
L(r)(E,1)/r! |
Ω |
0.53668281781852 |
Real period |
R |
6.7986025170681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448b3 8112t3 97344en3 2496ba3 |
Quadratic twists by: -4 8 -3 13 |