Atkin-Lehner |
2- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450o |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
-1.3927032832E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-407513,576381031] |
[a1,a2,a3,a4,a6] |
Generators |
[-721:22632:1] |
Generators of the group modulo torsion |
j |
-766387015876825/14261281619968 |
j-invariant |
L |
12.224557464746 |
L(r)(E,1)/r! |
Ω |
0.15500505521538 |
Real period |
R |
3.755501930149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450j2 |
Quadratic twists by: 5 |