Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17395d |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2594675164375 = -1 · 54 · 77 · 712 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -4 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3307,26888] |
[a1,a2,a3,a4,a6] |
j |
33980740919/22054375 |
j-invariant |
L |
1.0133928417689 |
L(r)(E,1)/r! |
Ω |
0.50669642088446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86975k1 2485e1 |
Quadratic twists by: 5 -7 |