Atkin-Lehner |
7+ 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89621b |
Isogeny class |
Conductor |
89621 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
98448 |
Modular degree for the optimal curve |
Δ |
-326858451899 = -1 · 78 · 312 · 59 |
Discriminant |
Eigenvalues |
1 -1 3 7+ 0 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1494,16843] |
[a1,a2,a3,a4,a6] |
j |
63905303/56699 |
j-invariant |
L |
3.7679635998393 |
L(r)(E,1)/r! |
Ω |
0.62799394644098 |
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 |
89621f1 |
Quadratic twists by: -7 |