Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gl |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-2.305926750528E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1996125,2039481250] |
[a1,a2,a3,a4,a6] |
Generators |
[225:50000:1] |
Generators of the group modulo torsion |
j |
150823633267/395392104 |
j-invariant |
L |
5.4592280219594 |
L(r)(E,1)/r! |
Ω |
0.10200691359597 |
Real period |
R |
3.3448884982545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bg1 37200dw1 111600gj1 |
Quadratic twists by: -4 -3 5 |