Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160s |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
503986406400 = 210 · 34 · 52 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6600,-201348] |
[a1,a2,a3,a4,a6] |
Generators |
[9066:160480:27] |
Generators of the group modulo torsion |
j |
31054272717604/492174225 |
j-invariant |
L |
6.0302048430229 |
L(r)(E,1)/r! |
Ω |
0.53018236499395 |
Real period |
R |
5.6869157117059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998604 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320x2 |
Quadratic twists by: -4 |