Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44149f |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
24869122167745261 = 76 · 175 · 533 |
Discriminant |
Eigenvalues |
2 3 -1 7- 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73843,-1443773] |
[a1,a2,a3,a4,a6] |
Generators |
[-199063200:1719792253:884736] |
Generators of the group modulo torsion |
j |
378497895469056/211384050589 |
j-invariant |
L |
19.387178586219 |
L(r)(E,1)/r! |
Ω |
0.31096479341257 |
Real period |
R |
10.39087542862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901e1 |
Quadratic twists by: -7 |