Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202k |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
845954161092 = 22 · 316 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188321,31502445] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1782:1] |
Generators of the group modulo torsion |
j |
206226044828441/236196 |
j-invariant |
L |
5.2389271430031 |
L(r)(E,1)/r! |
Ω |
0.75093167119552 |
Real period |
R |
3.4882848493142 |
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 |
41616cj3 1734c3 5202j3 |
Quadratic twists by: -4 -3 17 |