Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
102200k |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18048 |
Modular degree for the optimal curve |
Δ |
7154000 = 24 · 53 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110,425] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
73598976/3577 |
j-invariant |
L |
7.3880231104012 |
L(r)(E,1)/r! |
Ω |
2.328487658756 |
Real period |
R |
1.5864423993277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102200x1 |
Quadratic twists by: 5 |