Atkin-Lehner |
2+ 3+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494f |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46848 |
Modular degree for the optimal curve |
Δ |
-9197496 = -1 · 23 · 33 · 72 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-924,-10584] |
[a1,a2,a3,a4,a6] |
Generators |
[45:171:1] |
Generators of the group modulo torsion |
j |
-3233256941403/340648 |
j-invariant |
L |
6.2043429367754 |
L(r)(E,1)/r! |
Ω |
0.43293908133627 |
Real period |
R |
3.5826881958708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494be1 |
Quadratic twists by: -3 |