Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gw |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-369975361536 = -1 · 222 · 36 · 112 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1716,10384] |
[a1,a2,a3,a4,a6] |
j |
24167/16 |
j-invariant |
L |
2.3929761995576 |
L(r)(E,1)/r! |
Ω |
0.59824404751616 |
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 |
69696dj1 17424cb1 7744bg1 69696gy1 |
Quadratic twists by: -4 8 -3 -11 |