Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504t |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
43057152 = 216 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
4.1412027022507 |
L(r)(E,1)/r! |
Ω |
1.7486354112153 |
Real period |
R |
1.1841241106322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438c1 14016be1 10512m1 87600bq1 |
Quadratic twists by: -4 8 -3 5 |