Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770s |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
118820900250 = 2 · 32 · 53 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38081336,-90467493217] |
[a1,a2,a3,a4,a6] |
Generators |
[-142573956911005641910871263782157666:71268462960128030402918087499127783:40012339170074607209603153014856] |
Generators of the group modulo torsion |
j |
6107454519404934373045538689/118820900250 |
j-invariant |
L |
6.0233346249384 |
L(r)(E,1)/r! |
Ω |
0.060774516236517 |
Real period |
R |
49.554772279037 |
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 |
50310z2 83850t2 |
Quadratic twists by: -3 5 |