Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920co |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
41385738240000 = 217 · 38 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8213441,-9062897505] |
[a1,a2,a3,a4,a6] |
Generators |
[120990:-5672195:27] |
Generators of the group modulo torsion |
j |
467508233804095622882/315748125 |
j-invariant |
L |
7.790183878301 |
L(r)(E,1)/r! |
Ω |
0.089180163623978 |
Real period |
R |
10.919165709678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ej6 9240y5 |
Quadratic twists by: -4 8 |