Atkin-Lehner |
3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
89739d |
Isogeny class |
Conductor |
89739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
99958387581 = 33 · 137 · 59 |
Discriminant |
Eigenvalues |
2 3+ 3 4 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1521,-17027] |
[a1,a2,a3,a4,a6] |
j |
2985984/767 |
j-invariant |
L |
12.463773952782 |
L(r)(E,1)/r! |
Ω |
0.77898587875969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89739b1 6903b1 |
Quadratic twists by: -3 13 |