Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720m |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1494858240000 = -1 · 212 · 38 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2225,70623] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:315:1] |
Generators of the group modulo torsion |
j |
-297542483776/364955625 |
j-invariant |
L |
8.5402144330722 |
L(r)(E,1)/r! |
Ω |
0.76813098275347 |
Real period |
R |
1.389771833324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42720i2 85440ba1 128160h2 |
Quadratic twists by: -4 8 -3 |