Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dz |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-11107800 = -1 · 23 · 33 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35,187] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
-6838155/16456 |
j-invariant |
L |
12.037569568582 |
L(r)(E,1)/r! |
Ω |
2.0117743311867 |
Real period |
R |
0.49862988189572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150m1 84150x1 |
Quadratic twists by: -3 5 |