Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600iu |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-334611000000 = -1 · 26 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1717,-4437] |
[a1,a2,a3,a4,a6] |
j |
559476224/334611 |
j-invariant |
L |
5.0492251598508 |
L(r)(E,1)/r! |
Ω |
0.56102501177812 |
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 |
81600gp1 40800j1 3264r1 |
Quadratic twists by: -4 8 5 |