Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600eq |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
47385000000 = 26 · 36 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19425,1042000] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:900:1] [44:522:1] |
Generators of the group modulo torsion |
j |
1111934656/65 |
j-invariant |
L |
9.6223202601477 |
L(r)(E,1)/r! |
Ω |
1.071948532571 |
Real period |
R |
4.4882379928341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600eo1 10400l1 18720u1 |
Quadratic twists by: -4 -3 5 |