Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800cw |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
46720000 = 210 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -2 6 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,-6337] |
[a1,a2,a3,a4,a6] |
Generators |
[82:707:1] [-118:23:8] |
Generators of the group modulo torsion |
j |
43897600/73 |
j-invariant |
L |
13.435350429085 |
L(r)(E,1)/r! |
Ω |
0.95177621317636 |
Real period |
R |
14.116081321825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bg1 29200bc1 116800bv1 |
Quadratic twists by: -4 8 5 |