Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320v |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-230895723968640000 = -1 · 210 · 316 · 54 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,124120,-15807900] |
[a1,a2,a3,a4,a6] |
j |
206512125781857116/225484105438125 |
j-invariant |
L |
2.7127485667169 |
L(r)(E,1)/r! |
Ω |
0.16954674590155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59160d3 |
Quadratic twists by: -4 |