Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bp |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.0529008758545E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,539700,32917531] |
[a1,a2,a3,a4,a6] |
Generators |
[-805:1929516:343] [145:10687:1] |
Generators of the group modulo torsion |
j |
1526277183635456/924357421875 |
j-invariant |
L |
9.5676932788958 |
L(r)(E,1)/r! |
Ω |
0.14020841140057 |
Real period |
R |
1.4216475410757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775e2 19665w2 |
Quadratic twists by: -3 5 |