Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cb |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-1.7826332816835E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8899371,-642296686347] |
[a1,a2,a3,a4,a6] |
j |
18547687612920431/42417997492000000 |
j-invariant |
L |
1.9055616758305 |
L(r)(E,1)/r! |
Ω |
0.026466134350954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6370k2 57330bc2 |
Quadratic twists by: -3 -7 |