Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bk |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-51894000000000 = -1 · 210 · 33 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4125,-331250] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3328:1] |
Generators of the group modulo torsion |
j |
143748/961 |
j-invariant |
L |
5.7291426700526 |
L(r)(E,1)/r! |
Ω |
0.31516849397154 |
Real period |
R |
4.5445077629484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600m2 55800g2 55800f2 |
Quadratic twists by: -4 -3 5 |