Atkin-Lehner |
3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
89739c |
Isogeny class |
Conductor |
89739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
2081230489113985989 = 39 · 1311 · 59 |
Discriminant |
Eigenvalues |
0 3+ 1 2 6 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-337662,29763308] |
[a1,a2,a3,a4,a6] |
j |
44814532608/21906287 |
j-invariant |
L |
3.71365136051 |
L(r)(E,1)/r! |
Ω |
0.23210320152981 |
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 |
89739a1 6903a1 |
Quadratic twists by: -3 13 |