Atkin-Lehner |
2- 3+ 11+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538n |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5051488278080178 = -1 · 2 · 33 · 11 · 17 · 298 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39121,-1663945] |
[a1,a2,a3,a4,a6] |
j |
6621446296017676943/5051488278080178 |
j-invariant |
L |
1.9270140020253 |
L(r)(E,1)/r! |
Ω |
0.2408767502532 |
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 |
97614n3 |
Quadratic twists by: -3 |