Atkin-Lehner |
2+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17864a |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133504 |
Modular degree for the optimal curve |
Δ |
-739791971072 = -1 · 28 · 77 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3 4 7+ 11+ -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51628,4515380] |
[a1,a2,a3,a4,a6] |
j |
-59448328887665664/2889812387 |
j-invariant |
L |
6.7907119744254 |
L(r)(E,1)/r! |
Ω |
0.84883899680318 |
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 |
35728p1 125048c1 |
Quadratic twists by: -4 -7 |