Atkin-Lehner |
2+ 3+ 5- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910b |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
-109987031250 = -1 · 2 · 33 · 57 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 1 -6 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1509,28015] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-83:1] [-122:1801:8] |
Generators of the group modulo torsion |
j |
-14079575024523/4073593750 |
j-invariant |
L |
8.7981270255621 |
L(r)(E,1)/r! |
Ω |
1.0007581478917 |
Real period |
R |
0.31398077847708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80910l1 |
Quadratic twists by: -3 |