Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920l |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-31744000000 = -1 · 216 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1292,19824] |
[a1,a2,a3,a4,a6] |
Generators |
[8:100:1] |
Generators of the group modulo torsion |
j |
-3639412836/484375 |
j-invariant |
L |
4.415021556912 |
L(r)(E,1)/r! |
Ω |
1.1342566821083 |
Real period |
R |
0.64873933542474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920x1 1240e1 89280bn1 49600q1 |
Quadratic twists by: -4 8 -3 5 |