Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1984l |
Isogeny class |
Conductor |
1984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
125960192 = 217 · 312 |
Discriminant |
Eigenvalues |
2- -2 -2 0 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
1.9316536158969 |
L(r)(E,1)/r! |
Ω |
1.6289980531243 |
Real period |
R |
0.59289623219378 |
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 |
1984d2 496c2 17856cd2 49600cg2 |
Quadratic twists by: -4 8 -3 5 |