Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dm |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
254754916171875000 = 23 · 310 · 510 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272480,-48996853] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:735:1] |
Generators of the group modulo torsion |
j |
196416765680689/22365315000 |
j-invariant |
L |
11.151298577384 |
L(r)(E,1)/r! |
Ω |
0.21051043416223 |
Real period |
R |
2.2071943492921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bd3 14490be3 |
Quadratic twists by: -3 5 |