Atkin-Lehner |
2- 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450cq |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
46783406250000 = 24 · 33 · 59 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9338,110292] |
[a1,a2,a3,a4,a6] |
j |
5763259856089/2994138000 |
j-invariant |
L |
6.7301834139166 |
L(r)(E,1)/r! |
Ω |
0.56084862403321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690a1 |
Quadratic twists by: 5 |