Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37720i |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6249248851428E+28 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-864626220,7625601417332] |
[a1,a2,a3,a4,a6] |
Generators |
[125575088418:-3906825603641:12812904] |
Generators of the group modulo torsion |
j |
279234420606073240617115500496/63473628325891428646513025 |
j-invariant |
L |
8.017866023446 |
L(r)(E,1)/r! |
Ω |
0.036875349978377 |
Real period |
R |
18.119299270259 |
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 |
75440h2 |
Quadratic twists by: -4 |