Atkin-Lehner |
5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425a |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
13693203125 = 57 · 74 · 73 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ -6 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18783,997093] |
[a1,a2,a3,a4,a6] |
Generators |
[77:37:1] |
Generators of the group modulo torsion |
j |
19535724544/365 |
j-invariant |
L |
5.9120164474664 |
L(r)(E,1)/r! |
Ω |
1.155020327257 |
Real period |
R |
1.2796347211657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885d1 89425w1 |
Quadratic twists by: 5 -7 |