Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984cj |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1317389746176 = 214 · 32 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4177,-89425] |
[a1,a2,a3,a4,a6] |
Generators |
[434038:7684425:1331] |
Generators of the group modulo torsion |
j |
492040858192/80407089 |
j-invariant |
L |
9.8398314228574 |
L(r)(E,1)/r! |
Ω |
0.60042377125692 |
Real period |
R |
8.1940721644748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81984n2 20496a2 |
Quadratic twists by: -4 8 |