Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256ct |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
7864473157632 = 216 · 33 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138048,-19787724] |
[a1,a2,a3,a4,a6] |
j |
71032527376098625/1920037392 |
j-invariant |
L |
1.4860852029246 |
L(r)(E,1)/r! |
Ω |
0.24768087148427 |
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 |
9282o1 |
Quadratic twists by: -4 |