Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448b |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-912091954176 = -1 · 210 · 39 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4131,112050] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-108:1] |
Generators of the group modulo torsion |
j |
-386810316/45253 |
j-invariant |
L |
3.9485620301872 |
L(r)(E,1)/r! |
Ω |
0.86010472281832 |
Real period |
R |
1.1476980453365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55224l1 110448d1 |
Quadratic twists by: -4 -3 |