Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550di |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
42275550476250000 = 24 · 35 · 57 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36683876,85515610898] |
[a1,a2,a3,a4,a6] |
Generators |
[3492:-1259:1] |
Generators of the group modulo torsion |
j |
2969894891179808929/22997520 |
j-invariant |
L |
6.122172781811 |
L(r)(E,1)/r! |
Ω |
0.24978828604738 |
Real period |
R |
0.61273617776553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cd1 13650b1 |
Quadratic twists by: 5 -7 |