Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206s |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-379499904 = -1 · 27 · 36 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 4 -5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,-176] |
[a1,a2,a3,a4,a6] |
j |
17999471/10624 |
j-invariant |
L |
1.9850377689341 |
L(r)(E,1)/r! |
Ω |
0.99251890012862 |
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 |
8134g1 73206d1 |
Quadratic twists by: -3 -7 |