Atkin-Lehner |
29+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
74849c |
Isogeny class |
Conductor |
74849 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-52939275569 = -1 · 296 · 89 |
Discriminant |
Eigenvalues |
1 1 -1 -4 2 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-859,14635] |
[a1,a2,a3,a4,a6] |
j |
-117649/89 |
j-invariant |
L |
2.0621936978925 |
L(r)(E,1)/r! |
Ω |
1.03109686768 |
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 |
89a1 |
Quadratic twists by: 29 |