Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150eg |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-73614420000000 = -1 · 28 · 39 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3755,-421253] |
[a1,a2,a3,a4,a6] |
Generators |
[109:620:1] |
Generators of the group modulo torsion |
j |
-19034163/239360 |
j-invariant |
L |
10.303334460545 |
L(r)(E,1)/r! |
Ω |
0.26189808453038 |
Real period |
R |
1.2294064791723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150e1 16830j1 |
Quadratic twists by: -3 5 |