Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ek |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-461894400000000 = -1 · 214 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7633,-1062863] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1125:1] [208:2511:1] |
Generators of the group modulo torsion |
j |
-192143824/1804275 |
j-invariant |
L |
7.8291736048133 |
L(r)(E,1)/r! |
Ω |
0.22302704676933 |
Real period |
R |
8.7760360438604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800da2 13200z2 10560ci2 |
Quadratic twists by: -4 8 5 |