Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160o |
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 -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7416,245916] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:544:1] |
Generators of the group modulo torsion |
j |
44054622016996/492174225 |
j-invariant |
L |
4.6106656823407 |
L(r)(E,1)/r! |
Ω |
0.93353743651692 |
Real period |
R |
2.4694594464579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997467 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320r2 |
Quadratic twists by: -4 |