Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200k |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
297000000 = 26 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225,1000] |
[a1,a2,a3,a4,a6] |
j |
46656/11 |
j-invariant |
L |
3.2495209598557 |
L(r)(E,1)/r! |
Ω |
1.6247604919535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200e1 79200co1 3168r1 |
Quadratic twists by: -4 -3 5 |