Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
83544d |
Isogeny class |
Conductor |
83544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5678318592 = 210 · 33 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-688,-6160] |
[a1,a2,a3,a4,a6] |
j |
171500/27 |
j-invariant |
L |
2.8259021573816 |
L(r)(E,1)/r! |
Ω |
0.94196739520567 |
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 |
83544g1 |
Quadratic twists by: -59 |