Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2262k |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
286925652 = 22 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-233239,-43453255] |
[a1,a2,a3,a4,a6] |
j |
1403225087856519288817/286925652 |
j-invariant |
L |
1.7379578492948 |
L(r)(E,1)/r! |
Ω |
0.21724473116185 |
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 |
18096bi5 72384w6 6786e5 56550v6 |
Quadratic twists by: -4 8 -3 5 |