Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050gd |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
7588325745321984000 = 214 · 310 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-491315,2263187] |
[a1,a2,a3,a4,a6] |
j |
29819839301/17252352 |
j-invariant |
L |
5.5580480564237 |
L(r)(E,1)/r! |
Ω |
0.19850171507812 |
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 |
25350bu1 76050cz1 5850ba1 |
Quadratic twists by: -3 5 13 |