Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490g |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9171124042140000 = 25 · 33 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195549,-32914395] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:672:1] |
Generators of the group modulo torsion |
j |
651038076963/7220000 |
j-invariant |
L |
3.0645579832595 |
L(r)(E,1)/r! |
Ω |
0.22718339227081 |
Real period |
R |
1.6861696802677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32490bd2 1710m2 |
Quadratic twists by: -3 -19 |