Atkin-Lehner |
3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13083i |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3913077875778808947 = 33 · 718 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-748084,230077133] |
[a1,a2,a3,a4,a6] |
j |
393537938975182513/33260613144003 |
j-invariant |
L |
0.72564901881681 |
L(r)(E,1)/r! |
Ω |
0.24188300627227 |
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 |
39249g3 1869b3 |
Quadratic twists by: -3 -7 |