Atkin-Lehner |
2+ 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116560b |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
-112014160000000 = -1 · 210 · 57 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -2 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9144,-379100] |
[a1,a2,a3,a4,a6] |
Generators |
[762:9347:8] |
Generators of the group modulo torsion |
j |
82562894815964/109388828125 |
j-invariant |
L |
4.0941223217923 |
L(r)(E,1)/r! |
Ω |
0.3160711187631 |
Real period |
R |
6.4765839779444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58280b1 |
Quadratic twists by: -4 |