Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bb |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-952877895660288 = -1 · 28 · 33 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-1485172] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
3.6379403309587 |
L(r)(E,1)/r! |
Ω |
0.22737127068493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6084c1 97344dt1 24336bb2 24336bc1 |
Quadratic twists by: -4 8 -3 13 |