Atkin-Lehner |
3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689c |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.5223655326239E+21 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1510199,-3155027696] |
[a1,a2,a3,a4,a6] |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
0.27072230289275 |
L(r)(E,1)/r! |
Ω |
0.067680577932535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
609b6 |
Quadratic twists by: -11 |