Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800bk |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
80495596800 = 28 · 311 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,12890] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:162:1] |
Generators of the group modulo torsion |
j |
56397520/17253 |
j-invariant |
L |
7.4330239383301 |
L(r)(E,1)/r! |
Ω |
1.0038342078769 |
Real period |
R |
0.46278956883771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999116962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600b1 127800ba1 |
Quadratic twists by: -3 5 |