Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725p |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.7060726757772E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-411753942,-2925355271909] |
[a1,a2,a3,a4,a6] |
Generators |
[-5196622818:-186903064841:551368] |
Generators of the group modulo torsion |
j |
677781101619292083943321/67652764231789288125 |
j-invariant |
L |
6.3846107970968 |
L(r)(E,1)/r! |
Ω |
0.033730518277565 |
Real period |
R |
11.830182137544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22575c4 13545g3 |
Quadratic twists by: -3 5 |