Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80864i |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1180287062528 = 29 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,37076] |
[a1,a2,a3,a4,a6] |
Generators |
[3900:43498:27] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
8.8438475771681 |
L(r)(E,1)/r! |
Ω |
0.78805164966771 |
Real period |
R |
5.6112106240128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80864l2 224a2 |
Quadratic twists by: -4 -19 |