Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256u |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
85174676496 = 24 · 35 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 2 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53184,4703139] |
[a1,a2,a3,a4,a6] |
j |
1039812152065376512/5323417281 |
j-invariant |
L |
4.7758872855653 |
L(r)(E,1)/r! |
Ω |
0.95517745795433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128b1 |
Quadratic twists by: -4 |