Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050b |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-15001521468750 = -1 · 2 · 39 · 56 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1392,187766] |
[a1,a2,a3,a4,a6] |
Generators |
[85:781:1] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
3.7081280386073 |
L(r)(E,1)/r! |
Ω |
0.58083635351424 |
Real period |
R |
3.1920591885925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400cs2 13050bb1 522h2 |
Quadratic twists by: -4 -3 5 |