Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17395b |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-25427816610875 = -1 · 53 · 79 · 712 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-80621,-8787423] |
[a1,a2,a3,a4,a6] |
j |
-492589784498176/216132875 |
j-invariant |
L |
1.133275817957 |
L(r)(E,1)/r! |
Ω |
0.14165947724462 |
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 |
86975c1 2485d1 |
Quadratic twists by: 5 -7 |