Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960bo |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-890560 = -1 · 26 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-518,4538] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1:1] |
Generators of the group modulo torsion |
j |
-240177885696/13915 |
j-invariant |
L |
5.3423111634147 |
L(r)(E,1)/r! |
Ω |
2.6540806171428 |
Real period |
R |
1.0064334755703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bk1 40480a1 |
Quadratic twists by: -4 8 |