Atkin-Lehner |
2+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242i |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
2143733261287184 = 24 · 73 · 198 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50187,3705830] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:2749:1] |
Generators of the group modulo torsion |
j |
297141543217/45566864 |
j-invariant |
L |
2.397104131557 |
L(r)(E,1)/r! |
Ω |
0.44393696780731 |
Real period |
R |
2.6998248555605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118h1 |
Quadratic twists by: -19 |