Atkin-Lehner |
2- 3- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41712d |
Isogeny class |
Conductor |
41712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-3247561506816 = -1 · 222 · 34 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,256,-86604] |
[a1,a2,a3,a4,a6] |
j |
451217663/792861696 |
j-invariant |
L |
2.9595251632877 |
L(r)(E,1)/r! |
Ω |
0.36994064539818 |
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 |
5214c1 125136v1 |
Quadratic twists by: -4 -3 |