Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gk |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3494400 |
Modular degree for the optimal curve |
Δ |
-25880069531250 = -1 · 2 · 311 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47315930,-125261662053] |
[a1,a2,a3,a4,a6] |
j |
-41139431161398468985/90882 |
j-invariant |
L |
2.8206148786758 |
L(r)(E,1)/r! |
Ω |
0.028781784330363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050u1 84150br1 |
Quadratic twists by: -3 5 |