Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445n |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-3426740142081194435 = -1 · 5 · 79 · 198 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -3 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,82549,88621726] |
[a1,a2,a3,a4,a6] |
Generators |
[10810:413311:8] |
Generators of the group modulo torsion |
j |
32768/1805 |
j-invariant |
L |
4.4957284586159 |
L(r)(E,1)/r! |
Ω |
0.19062105496234 |
Real period |
R |
5.8961593467089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bo1 4655i1 |
Quadratic twists by: -7 -19 |