Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ed |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.5591747473801E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1169520,-5987516652] |
[a1,a2,a3,a4,a6] |
Generators |
[2628:123462:1] |
Generators of the group modulo torsion |
j |
918046641959/80912056320 |
j-invariant |
L |
7.9941752828064 |
L(r)(E,1)/r! |
Ω |
0.059033375006736 |
Real period |
R |
1.8808040753954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999970967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830x3 4560r3 |
Quadratic twists by: -4 -19 |