Atkin-Lehner |
5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17395n |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-10871875 = -1 · 55 · 72 · 71 |
Discriminant |
Eigenvalues |
2 2 5- 7- 4 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30,181] |
[a1,a2,a3,a4,a6] |
j |
-62992384/221875 |
j-invariant |
L |
9.9651266843304 |
L(r)(E,1)/r! |
Ω |
1.9930253368661 |
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 |
86975w1 17395a1 |
Quadratic twists by: 5 -7 |