Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512q |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7564032 = 28 · 32 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364,2552] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:54:1] |
Generators of the group modulo torsion |
j |
20892021712/29547 |
j-invariant |
L |
5.3286668514819 |
L(r)(E,1)/r! |
Ω |
2.3425014849264 |
Real period |
R |
2.2747762960967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5628b2 90048be2 67536bj2 |
Quadratic twists by: -4 8 -3 |