Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920eq |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2238122557440000 = 226 · 32 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79681,-8326175] |
[a1,a2,a3,a4,a6] |
Generators |
[391:4488:1] |
Generators of the group modulo torsion |
j |
213429068128081/8537760000 |
j-invariant |
L |
4.4128843546092 |
L(r)(E,1)/r! |
Ω |
0.2848591890119 |
Real period |
R |
3.8728646699412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965556 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920cg2 18480dg2 |
Quadratic twists by: -4 8 |