Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720ce |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1.946823799968E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32303667,-97470882574] |
[a1,a2,a3,a4,a6] |
Generators |
[49417:10908000:1] |
Generators of the group modulo torsion |
j |
-1248509093938624216369/651987351562500000 |
j-invariant |
L |
7.3602271267065 |
L(r)(E,1)/r! |
Ω |
0.030904370040322 |
Real period |
R |
0.82694920357741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090k2 24240r2 |
Quadratic twists by: -4 -3 |