Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9112b |
Isogeny class |
Conductor |
9112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
332114176 = 28 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 0 2 4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,22770] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:210:1] |
Generators of the group modulo torsion |
j |
1514108747088/1297321 |
j-invariant |
L |
5.3202854588949 |
L(r)(E,1)/r! |
Ω |
1.7003185130717 |
Real period |
R |
3.1289934315209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18224b2 72896g2 82008g2 |
Quadratic twists by: -4 8 -3 |