Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885u |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-21943303235 = -1 · 5 · 77 · 732 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 3 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1290,19641] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/186515 |
j-invariant |
L |
4.7191457275096 |
L(r)(E,1)/r! |
Ω |
1.1797864318774 |
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 |
89425u1 2555b1 |
Quadratic twists by: 5 -7 |