Atkin-Lehner |
3- 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805p |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
59289600 |
Modular degree for the optimal curve |
Δ |
-1.8320428171478E+28 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447528533,-7462272849348] |
[a1,a2,a3,a4,a6] |
j |
-13597478231605116493512397321/25130902841533324859034375 |
j-invariant |
L |
0.30932795999437 |
L(r)(E,1)/r! |
Ω |
0.015466398721417 |
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 |
25935k1 |
Quadratic twists by: -3 |