Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722a |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
8.7165833115556E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -1 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4987644,4265024336] |
[a1,a2,a3,a4,a6] |
Generators |
[1375:1594:1] |
Generators of the group modulo torsion |
j |
144430427731563/917476352 |
j-invariant |
L |
5.6308847693581 |
L(r)(E,1)/r! |
Ω |
0.19240373687665 |
Real period |
R |
1.8291240003628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000147879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bc1 9594m1 |
Quadratic twists by: -3 13 |