Atkin-Lehner |
5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465s |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
783428563225 = 52 · 72 · 116 · 192 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2322,6944] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:207:1] [52:131:1] |
Generators of the group modulo torsion |
j |
781229961/442225 |
j-invariant |
L |
7.5590703286282 |
L(r)(E,1)/r! |
Ω |
0.77148090969359 |
Real period |
R |
4.8990650537552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
665b2 |
Quadratic twists by: -11 |