Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800t |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15054336000000 = 215 · 35 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31363233,-67594629663] |
[a1,a2,a3,a4,a6] |
Generators |
[331452913900213:-17523799041570100:42107871239] |
Generators of the group modulo torsion |
j |
6663712298552914184/29403 |
j-invariant |
L |
5.9512916337858 |
L(r)(E,1)/r! |
Ω |
0.063796131917245 |
Real period |
R |
23.321522226217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800dh4 26400x4 2112n3 |
Quadratic twists by: -4 8 5 |