Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150m |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-8097586200 = -1 · 23 · 39 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-312,-4744] |
[a1,a2,a3,a4,a6] |
j |
-6838155/16456 |
j-invariant |
L |
2.1191130694162 |
L(r)(E,1)/r! |
Ω |
0.52977826633317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150dz1 84150er1 |
Quadratic twists by: -3 5 |