Atkin-Lehner |
2- 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bi |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
2557378560000 = 218 · 3 · 54 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4136,-68940] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:186:1] |
Generators of the group modulo torsion |
j |
1910778533929/624360000 |
j-invariant |
L |
8.3870055698338 |
L(r)(E,1)/r! |
Ω |
0.61082649869549 |
Real period |
R |
3.4326464222883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190c1 |
Quadratic twists by: -4 |