Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256da |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-23942434553856 = -1 · 215 · 34 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6376,-128364] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-816:1] |
Generators of the group modulo torsion |
j |
6997462401383/5845320936 |
j-invariant |
L |
8.158151863235 |
L(r)(E,1)/r! |
Ω |
0.37257439527447 |
Real period |
R |
0.6842720513007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282a2 |
Quadratic twists by: -4 |