Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410z |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
3220179806250000 = 24 · 38 · 58 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140018,20015457] |
[a1,a2,a3,a4,a6] |
j |
416432758541509081/4417256250000 |
j-invariant |
L |
3.5991219983454 |
L(r)(E,1)/r! |
Ω |
0.44989024974038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470g1 |
Quadratic twists by: -3 |