Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700k |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-158794570800 = -1 · 24 · 314 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-19595] |
[a1,a2,a3,a4,a6] |
j |
-41943040/544563 |
j-invariant |
L |
1.7486848427904 |
L(r)(E,1)/r! |
Ω |
0.43717120231419 |
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 |
24900k1 74700q1 |
Quadratic twists by: -3 5 |