Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752w |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
101465544720384 = 222 · 33 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 1 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52467,4600242] |
[a1,a2,a3,a4,a6] |
j |
144430427731563/917476352 |
j-invariant |
L |
2.4031218868058 |
L(r)(E,1)/r! |
Ω |
0.60078047583954 |
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 |
9594c1 76752be1 |
Quadratic twists by: -4 -3 |