Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bb |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-51648192 = -1 · 26 · 39 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 3 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,378] |
[a1,a2,a3,a4,a6] |
j |
-13824/41 |
j-invariant |
L |
3.5179645527673 |
L(r)(E,1)/r! |
Ω |
1.7589822763837 |
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 |
23616bc1 11808d1 23616bi1 |
Quadratic twists by: -4 8 -3 |