Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cv |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
167938272810000 = 24 · 34 · 54 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4319700,3455280000] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:67602:1] |
Generators of the group modulo torsion |
j |
8914243185297396956116801/167938272810000 |
j-invariant |
L |
11.348243665614 |
L(r)(E,1)/r! |
Ω |
0.41159172866488 |
Real period |
R |
3.446450352156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
117810y2 |
Quadratic twists by: -3 |