Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bf |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9878562993600 = -1 · 26 · 32 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3992,-115594] |
[a1,a2,a3,a4,a6] |
j |
59822347031/83966400 |
j-invariant |
L |
3.0847635567171 |
L(r)(E,1)/r! |
Ω |
0.38559544458966 |
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 |
74970cy1 124950fn1 3570c1 |
Quadratic twists by: -3 5 -7 |