Atkin-Lehner |
2- 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
70488i |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
8039015424 = 210 · 36 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531,-1890] |
[a1,a2,a3,a4,a6] |
j |
22180932/10769 |
j-invariant |
L |
2.0885483161004 |
L(r)(E,1)/r! |
Ω |
1.0442741486251 |
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 |
7832a1 |
Quadratic twists by: -3 |