Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200bz |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
979296000000000000 = 217 · 3 · 512 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310008,46438512] |
[a1,a2,a3,a4,a6] |
Generators |
[-452:9696:1] [-388:10400:1] |
Generators of the group modulo torsion |
j |
51482999631601/15301500000 |
j-invariant |
L |
9.1409188881225 |
L(r)(E,1)/r! |
Ω |
0.25823663539108 |
Real period |
R |
4.4246814909605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150l2 24240bl2 |
Quadratic twists by: -4 5 |