Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512g |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-1823472 = -1 · 24 · 35 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 3 -3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
-12967168/113967 |
j-invariant |
L |
7.4061070275185 |
L(r)(E,1)/r! |
Ω |
2.2593526573003 |
Real period |
R |
0.65559548692748 |
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 |
11256d1 90048bc1 67536p1 |
Quadratic twists by: -4 8 -3 |