Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425m |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-230141664921875 = -1 · 57 · 79 · 73 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3037,727292] |
[a1,a2,a3,a4,a6] |
j |
4913/365 |
j-invariant |
L |
1.7052554230903 |
L(r)(E,1)/r! |
Ω |
0.42631388985119 |
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 |
17885g1 89425z1 |
Quadratic twists by: 5 -7 |