Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680bu |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
104359368960 = 28 · 32 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56660,5210052] |
[a1,a2,a3,a4,a6] |
j |
667932971344/3465 |
j-invariant |
L |
1.8790559139882 |
L(r)(E,1)/r! |
Ω |
0.93952795698624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360de1 9240bb1 |
Quadratic twists by: -4 -7 |