Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ee |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50374410240 = 215 · 3 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4641,-119679] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:19:1] [-37:4:1] |
Generators of the group modulo torsion |
j |
337444269128/1537305 |
j-invariant |
L |
8.084254530971 |
L(r)(E,1)/r! |
Ω |
0.57857267690673 |
Real period |
R |
6.9863777306543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gz4 36960x3 |
Quadratic twists by: -4 8 |