Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fy |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
599639040 |
Modular degree for the optimal curve |
Δ |
2.5201572813543E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285044716157,-58575644254784419] |
[a1,a2,a3,a4,a6] |
Generators |
[-8919054586797:5084663465122:28934443] |
Generators of the group modulo torsion |
j |
4307133670770643495402925929/42379253152021800 |
j-invariant |
L |
12.727812407642 |
L(r)(E,1)/r! |
Ω |
0.0065338822891564 |
Real period |
R |
12.486992796003 |
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 |
35490bg1 106470bc1 |
Quadratic twists by: -3 13 |