Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425q |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
-8571602826171875 = -1 · 59 · 77 · 732 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -1 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5434508,4878092043] |
[a1,a2,a3,a4,a6] |
j |
-9655977011728384/4662875 |
j-invariant |
L |
2.7006691949911 |
L(r)(E,1)/r! |
Ω |
0.33758366631366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885v1 12775d1 |
Quadratic twists by: 5 -7 |