Atkin-Lehner |
2- 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048m |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21261984989184 = 220 · 32 · 192 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20344,1101424] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1106:1] |
Generators of the group modulo torsion |
j |
227349578322937/5190914304 |
j-invariant |
L |
2.7960517515733 |
L(r)(E,1)/r! |
Ω |
0.67979949382684 |
Real period |
R |
2.0565267974918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986435 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9006c2 |
Quadratic twists by: -4 |