Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512g |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
11712487248 = 24 · 310 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-570,569] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:63:1] |
Generators of the group modulo torsion |
j |
1755904000/1004157 |
j-invariant |
L |
4.7037119343865 |
L(r)(E,1)/r! |
Ω |
1.08958554337 |
Real period |
R |
1.0792433891402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999065579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504l1 |
Quadratic twists by: -3 |