Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63648v |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
6241094708666688 = 26 · 312 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49773,1954600] |
[a1,a2,a3,a4,a6] |
j |
292279034436544/133768319373 |
j-invariant |
L |
4.5579023681353 |
L(r)(E,1)/r! |
Ω |
0.37982519773385 |
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 |
63648u1 127296ck2 21216h1 |
Quadratic twists by: -4 8 -3 |