Atkin-Lehner |
2- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bk |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
-7031664640 = -1 · 212 · 5 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1193072,501589104] |
[a1,a2,a3,a4,a6] |
Generators |
[305:12887:1] |
Generators of the group modulo torsion |
j |
-45852574428123549696/1716715 |
j-invariant |
L |
5.8873569666379 |
L(r)(E,1)/r! |
Ω |
0.71078275401841 |
Real period |
R |
4.1414601954583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5005f1 |
Quadratic twists by: -4 |