Atkin-Lehner |
2+ 3+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
104904b |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
312194304 = 28 · 33 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -5 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1332,18692] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:186:1] [17:31:1] |
Generators of the group modulo torsion |
j |
37812261888/45167 |
j-invariant |
L |
11.832337522503 |
L(r)(E,1)/r! |
Ω |
1.7152998490971 |
Real period |
R |
0.43113225684783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104904j1 |
Quadratic twists by: -3 |