Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ct |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2481465539203200 = -1 · 27 · 315 · 52 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,378,2396596] |
[a1,a2,a3,a4,a6] |
j |
327254135/136157231232 |
j-invariant |
L |
2.1770483475601 |
L(r)(E,1)/r! |
Ω |
0.36284139687802 |
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 |
28050bz1 84150gz1 |
Quadratic twists by: -3 5 |