Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840o |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47702169354240 = 218 · 39 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47628,3986928] |
[a1,a2,a3,a4,a6] |
Generators |
[46:1376:1] [148:424:1] |
Generators of the group modulo torsion |
j |
2315685267/9245 |
j-invariant |
L |
9.747718663149 |
L(r)(E,1)/r! |
Ω |
0.6393888704827 |
Real period |
R |
3.8113420166374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999948549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dq2 1935d2 123840bd2 |
Quadratic twists by: -4 8 -3 |