Atkin-Lehner |
2- 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850p |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
81522851840000000 = 224 · 57 · 37 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127838,10980292] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:4434:1] [492:-8446:1] |
Generators of the group modulo torsion |
j |
14787126942253849/5217462517760 |
j-invariant |
L |
9.9765426238677 |
L(r)(E,1)/r! |
Ω |
0.31401102739582 |
Real period |
R |
0.66190235331268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170a1 |
Quadratic twists by: 5 |