Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992z |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
5142163494382478928 = 24 · 314 · 73 · 134 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-661011,-175961448] |
[a1,a2,a3,a4,a6] |
j |
1996321327962901325824/321385218398904933 |
j-invariant |
L |
7.1088527189307 |
L(r)(E,1)/r! |
Ω |
0.16925839752967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496f1 |
Quadratic twists by: -4 |