Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600z |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.620068364E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-712033,126645937] |
[a1,a2,a3,a4,a6] |
Generators |
[2187:95000:1] |
Generators of the group modulo torsion |
j |
623799057208384/253135681875 |
j-invariant |
L |
4.6214172015217 |
L(r)(E,1)/r! |
Ω |
0.19972137943047 |
Real period |
R |
1.9282767885218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bp2 91200hh1 9120f2 |
Quadratic twists by: -4 8 5 |