Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160i |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2218500000000000 = 211 · 32 · 512 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194520,-33008400] |
[a1,a2,a3,a4,a6] |
j |
397455741621174962/1083251953125 |
j-invariant |
L |
5.4568333013135 |
L(r)(E,1)/r! |
Ω |
0.227368054401 |
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 |
118320k4 |
Quadratic twists by: -4 |