Atkin-Lehner |
2+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41272f |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-23084178439168 = -1 · 210 · 73 · 114 · 672 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21504,-1228420] |
[a1,a2,a3,a4,a6] |
j |
-1073993629814788/22543143007 |
j-invariant |
L |
2.3625417052684 |
L(r)(E,1)/r! |
Ω |
0.19687847543919 |
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 |
82544d1 |
Quadratic twists by: -4 |