Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512p |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-26620672684032 = -1 · 212 · 32 · 74 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63141,-6090867] |
[a1,a2,a3,a4,a6] |
j |
-6796808121217024/6499187667 |
j-invariant |
L |
3.6139110753918 |
L(r)(E,1)/r! |
Ω |
0.15057962814132 |
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 |
1407b1 90048ca1 67536ca1 |
Quadratic twists by: -4 8 -3 |