Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512m |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1089220608 = -1 · 212 · 34 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469,-4067] |
[a1,a2,a3,a4,a6] |
Generators |
[28:63:1] |
Generators of the group modulo torsion |
j |
-2791309312/265923 |
j-invariant |
L |
3.3196565998524 |
L(r)(E,1)/r! |
Ω |
0.51009865884223 |
Real period |
R |
1.6269679121422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1407d1 90048bn1 67536bt1 |
Quadratic twists by: -4 8 -3 |