Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fu |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-1985143749120000 = -1 · 212 · 37 · 54 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21145,1782047] |
[a1,a2,a3,a4,a6] |
j |
2294872120775/4356968448 |
j-invariant |
L |
7.7102532221546 |
L(r)(E,1)/r! |
Ω |
0.32126057437577 |
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 |
38850bs2 116550bf2 |
Quadratic twists by: -3 5 |