Atkin-Lehner |
5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465s |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1178088065 = 5 · 7 · 116 · 19 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1717,27756] |
[a1,a2,a3,a4,a6] |
Generators |
[222:127:8] [34:71:1] |
Generators of the group modulo torsion |
j |
315821241/665 |
j-invariant |
L |
7.5590703286282 |
L(r)(E,1)/r! |
Ω |
1.5429618193872 |
Real period |
R |
4.8990650537552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
665b1 |
Quadratic twists by: -11 |