Atkin-Lehner |
2+ 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328b |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2153190680576 = 211 · 13 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 2 2 2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3552,-39520] |
[a1,a2,a3,a4,a6] |
Generators |
[55374:859465:216] |
Generators of the group modulo torsion |
j |
2420666126786/1051362637 |
j-invariant |
L |
11.893166771826 |
L(r)(E,1)/r! |
Ω |
0.64338136132488 |
Real period |
R |
9.2427038521142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40664f2 |
Quadratic twists by: -4 |