Atkin-Lehner |
2+ 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450bm |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
222541830000 = 24 · 36 · 54 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4201,101948] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:131:1] [-53:446:1] |
Generators of the group modulo torsion |
j |
13114541865625/356066928 |
j-invariant |
L |
9.8815676837865 |
L(r)(E,1)/r! |
Ω |
0.99205673134304 |
Real period |
R |
0.83005734212412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999263 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93450bt1 |
Quadratic twists by: 5 |