Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662p |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
345312 |
Modular degree for the optimal curve |
Δ |
26508047942222 = 2 · 7 · 1110 · 73 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7625,-68977] |
[a1,a2,a3,a4,a6] |
Generators |
[-917236089:10825941160:26198073] |
Generators of the group modulo torsion |
j |
1890625/1022 |
j-invariant |
L |
8.6839993061358 |
L(r)(E,1)/r! |
Ω |
0.54437305090972 |
Real period |
R |
15.952294706222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999630339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662y1 |
Quadratic twists by: -11 |