Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
19602000000000 = 210 · 34 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15333,693963] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1125:1] |
Generators of the group modulo torsion |
j |
199344128/9801 |
j-invariant |
L |
8.1025381956495 |
L(r)(E,1)/r! |
Ω |
0.67686387484281 |
Real period |
R |
1.4963382034436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800fq1 3300h1 52800bq1 |
Quadratic twists by: -4 8 5 |