Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360x |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
139784400 = 24 · 33 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222,-1139] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
2800908288/323575 |
j-invariant |
L |
7.5411709380896 |
L(r)(E,1)/r! |
Ω |
1.2461480677447 |
Real period |
R |
1.5128962437429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360b1 |
Quadratic twists by: -3 |