Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12775m |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-1397265625 = -1 · 58 · 72 · 73 |
Discriminant |
Eigenvalues |
1 0 5- 7- -5 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133,1666] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:28:1] |
Generators of the group modulo torsion |
j |
663255/3577 |
j-invariant |
L |
5.0773265438663 |
L(r)(E,1)/r! |
Ω |
1.0949974173503 |
Real period |
R |
0.77280647171943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975bs1 12775c1 89425be1 |
Quadratic twists by: -3 5 -7 |