Atkin-Lehner |
2- 3+ 5- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910n |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
9942220800 = 214 · 33 · 52 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1277,-16571] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:26:1] |
Generators of the group modulo torsion |
j |
8523417594483/368230400 |
j-invariant |
L |
11.50925669119 |
L(r)(E,1)/r! |
Ω |
0.80082250323471 |
Real period |
R |
1.0265567716816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80910a1 |
Quadratic twists by: -3 |