Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499i |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-83165213554729779 = -1 · 3 · 1114 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,104420,-4873519] |
[a1,a2,a3,a4,a6] |
Generators |
[12246567831322912879010669302818:548689353171304819097647822625819:6119550728395516058248710584] |
Generators of the group modulo torsion |
j |
71076272953967/46944594939 |
j-invariant |
L |
9.796660758797 |
L(r)(E,1)/r! |
Ω |
0.19463749513769 |
Real period |
R |
50.332854683866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79497j3 2409f4 |
Quadratic twists by: -3 -11 |