Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168m |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
457275456 = 26 · 310 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,-1820] |
[a1,a2,a3,a4,a6] |
Generators |
[68:540:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
3.7430292242667 |
L(r)(E,1)/r! |
Ω |
1.1493101875949 |
Real period |
R |
3.2567615467672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3168u1 6336p2 1056i1 79200dx1 |
Quadratic twists by: -4 8 -3 5 |