Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cj |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
10443616637875200 = 210 · 322 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82632,7707944] |
[a1,a2,a3,a4,a6] |
Generators |
[458:8120:1] |
Generators of the group modulo torsion |
j |
83587439220736/13990184325 |
j-invariant |
L |
7.3245465114832 |
L(r)(E,1)/r! |
Ω |
0.38775803520919 |
Real period |
R |
4.7223692653673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fi1 4680q1 12480f1 |
Quadratic twists by: -4 8 -3 |