Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200h |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2782924E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-914033,288730063] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:25000:1] |
Generators of the group modulo torsion |
j |
329890530231376/49933296875 |
j-invariant |
L |
3.0471321849324 |
L(r)(E,1)/r! |
Ω |
0.21523333335691 |
Real period |
R |
1.7696679183206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999506845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200gi2 7700d2 24640k2 |
Quadratic twists by: -4 8 5 |