Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920l |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15745024000 = 217 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21292,1195824] |
[a1,a2,a3,a4,a6] |
Generators |
[53:465:1] |
Generators of the group modulo torsion |
j |
8144476196418/120125 |
j-invariant |
L |
4.415021556912 |
L(r)(E,1)/r! |
Ω |
1.1342566821083 |
Real period |
R |
1.2974786708495 |
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 |
9920x2 1240e2 89280bn2 49600q2 |
Quadratic twists by: -4 8 -3 5 |