Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170i |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
17977531918500 = 22 · 34 · 53 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11883,-459927] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:228:1] |
Generators of the group modulo torsion |
j |
4599141247/445500 |
j-invariant |
L |
2.9836413749962 |
L(r)(E,1)/r! |
Ω |
0.46010629951927 |
Real period |
R |
3.2423391921753 |
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 |
129360ga1 48510du1 80850gn1 16170be1 |
Quadratic twists by: -4 -3 5 -7 |