Atkin-Lehner |
3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259f |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.2777385556415E+21 |
Discriminant |
Eigenvalues |
1 3- 2 -2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2622816,-4417445943] |
[a1,a2,a3,a4,a6] |
j |
-4601630708137/16783438221 |
j-invariant |
L |
1.9568932731341 |
L(r)(E,1)/r! |
Ω |
0.054358145726864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27753f2 2871c2 |
Quadratic twists by: -3 29 |