Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bf |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.6904215834472E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1469761,-657176065] |
[a1,a2,a3,a4,a6] |
Generators |
[4961:337896:1] |
Generators of the group modulo torsion |
j |
10715544157908977288/515875727370375 |
j-invariant |
L |
6.0848669447787 |
L(r)(E,1)/r! |
Ω |
0.13752524275579 |
Real period |
R |
2.2122727518409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240a4 9120d2 54720ca3 91200s3 |
Quadratic twists by: -4 8 -3 5 |