Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150fl |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-864611714927812500 = -1 · 22 · 311 · 57 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19355,-44744353] |
[a1,a2,a3,a4,a6] |
j |
-70393838689/75905555220 |
j-invariant |
L |
4.059852476915 |
L(r)(E,1)/r! |
Ω |
0.12687039121609 |
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 |
28050ba1 16830be1 |
Quadratic twists by: -3 5 |