Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499i |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18262245489384963 = 3 · 118 · 734 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-247690,46978853] |
[a1,a2,a3,a4,a6] |
Generators |
[-742575585:-10551992726:1520875] |
Generators of the group modulo torsion |
j |
948616119380593/10308561483 |
j-invariant |
L |
9.796660758797 |
L(r)(E,1)/r! |
Ω |
0.38927499027538 |
Real period |
R |
12.583213670966 |
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 |
79497j4 2409f3 |
Quadratic twists by: -3 -11 |