Atkin-Lehner |
2- 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
127260c |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1755648 |
Modular degree for the optimal curve |
Δ |
281015903759547600 = 24 · 39 · 52 · 73 · 1014 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-462132,-118199331] |
[a1,a2,a3,a4,a6] |
Generators |
[-60456029347350:-80273717575083:175052124584] |
Generators of the group modulo torsion |
j |
34658563854385152/892317938575 |
j-invariant |
L |
7.8525172221258 |
L(r)(E,1)/r! |
Ω |
0.18339611571766 |
Real period |
R |
21.408624684371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127260a1 |
Quadratic twists by: -3 |