Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200d |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
31539200 = 214 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-483] |
[a1,a2,a3,a4,a6] |
Generators |
[-31236:18783:6859] |
Generators of the group modulo torsion |
j |
640000/77 |
j-invariant |
L |
11.299959247847 |
L(r)(E,1)/r! |
Ω |
1.41602329591 |
Real period |
R |
7.980065930555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gk1 15400p1 123200di1 |
Quadratic twists by: -4 8 5 |