Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ev |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
43659000000 = 26 · 34 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-896,2670] |
[a1,a2,a3,a4,a6] |
Generators |
[503:11250:1] |
Generators of the group modulo torsion |
j |
1244378161216/682171875 |
j-invariant |
L |
5.4170919223174 |
L(r)(E,1)/r! |
Ω |
0.99161103837436 |
Real period |
R |
2.731460075001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920go1 36960bc2 |
Quadratic twists by: -4 8 |