Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bo |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
34490520900000000 = 28 · 312 · 58 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-810122,280715721] |
[a1,a2,a3,a4,a6] |
Generators |
[461:-2481:1] |
Generators of the group modulo torsion |
j |
80657909151838319449/47312100000000 |
j-invariant |
L |
9.7605543143778 |
L(r)(E,1)/r! |
Ω |
0.3634165188794 |
Real period |
R |
0.41965252882503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470c1 |
Quadratic twists by: -3 |