Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4160d |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-18717736960 = -1 · 217 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,628,-2576] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1205:27] |
Generators of the group modulo torsion |
j |
208974222/142805 |
j-invariant |
L |
3.8252674739274 |
L(r)(E,1)/r! |
Ω |
0.69307373405823 |
Real period |
R |
5.5192792425258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4160o4 520a4 37440bm3 20800a4 |
Quadratic twists by: -4 8 -3 5 |