Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560z |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.5710525825105E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,462399,-1903013985] |
[a1,a2,a3,a4,a6] |
j |
41709358422320399/5993089990656000 |
j-invariant |
L |
3.5548183353686 |
L(r)(E,1)/r! |
Ω |
0.071096366730745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cc1 1830g1 |
Quadratic twists by: -4 8 |