Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725bi |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18428607421875 = 36 · 59 · 7 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40992,3198041] |
[a1,a2,a3,a4,a6] |
Generators |
[974:-253:8] |
Generators of the group modulo torsion |
j |
5350192749/12943 |
j-invariant |
L |
5.9622912352196 |
L(r)(E,1)/r! |
Ω |
0.69058264245271 |
Real period |
R |
4.3168557013806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7525d2 67725bd2 |
Quadratic twists by: -3 5 |