Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080w |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-2799481484800000 = -1 · 212 · 55 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12323,2599522] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1768:1] |
Generators of the group modulo torsion |
j |
-50525789641209/683467159375 |
j-invariant |
L |
4.2775784242865 |
L(r)(E,1)/r! |
Ω |
0.38409074529051 |
Real period |
R |
2.7842238310398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005a1 |
Quadratic twists by: -4 |