Atkin-Lehner |
2- 3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160w |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
3860190000000000 = 210 · 33 · 510 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40000,725648] |
[a1,a2,a3,a4,a6] |
Generators |
[416:7500:1] [-109:1950:1] |
Generators of the group modulo torsion |
j |
6912172801440004/3769716796875 |
j-invariant |
L |
10.938230826053 |
L(r)(E,1)/r! |
Ω |
0.38433126968933 |
Real period |
R |
0.94868079429726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320g2 |
Quadratic twists by: -4 |