Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
1314d |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
7663248 = 24 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
3.5286230450202 |
L(r)(E,1)/r! |
Ω |
2.0191502507593 |
Real period |
R |
0.43689456043368 |
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 |
10512m1 42048c1 438c1 32850x1 |
Quadratic twists by: -4 8 -3 5 |