Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10224o |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45157036032 = 212 · 37 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,35354] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:142:1] |
Generators of the group modulo torsion |
j |
338608873/15123 |
j-invariant |
L |
3.4056043898575 |
L(r)(E,1)/r! |
Ω |
1.1247454230626 |
Real period |
R |
1.5139445424833 |
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 |
639a2 40896bn2 3408f2 |
Quadratic twists by: -4 8 -3 |