Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bt |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1543482397163520000 = -1 · 236 · 33 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195233,-68311263] |
[a1,a2,a3,a4,a6] |
Generators |
[9337:901120:1] |
Generators of the group modulo torsion |
j |
-5023028944825/9420668928 |
j-invariant |
L |
5.0158843263168 |
L(r)(E,1)/r! |
Ω |
0.10696030453568 |
Real period |
R |
1.3026339143395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hj2 1650j2 52800ct2 |
Quadratic twists by: -4 8 5 |