Atkin-Lehner |
2+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109504h |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
188606185472 = 217 · 293 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 3 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4609,117087] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:464:1] [13:244:1] |
Generators of the group modulo torsion |
j |
82628169986/1438951 |
j-invariant |
L |
6.6160647847931 |
L(r)(E,1)/r! |
Ω |
1.0103883400808 |
Real period |
R |
0.54567012517788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504w1 13688b1 |
Quadratic twists by: -4 8 |