Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808be |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4443215855616 = -1 · 215 · 39 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,-105840] |
[a1,a2,a3,a4,a6] |
Generators |
[76:440:1] [114:1080:1] |
Generators of the group modulo torsion |
j |
-1061208/6889 |
j-invariant |
L |
8.3463176312881 |
L(r)(E,1)/r! |
Ω |
0.32489001641624 |
Real period |
R |
6.4224177487463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808bj2 23904p2 47808bh2 |
Quadratic twists by: -4 8 -3 |