Atkin-Lehner |
2- 3- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582bj |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-448678561296240288 = -1 · 25 · 319 · 133 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 5 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31145,-32289015] |
[a1,a2,a3,a4,a6] |
Generators |
[2081:93360:1] |
Generators of the group modulo torsion |
j |
-4582981631607625/615471277498272 |
j-invariant |
L |
12.306053105929 |
L(r)(E,1)/r! |
Ω |
0.13184718814653 |
Real period |
R |
4.6667863306437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25194d1 |
Quadratic twists by: -3 |