Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722p |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-195051004159752 = -1 · 23 · 36 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14418,-90180] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1880:1] |
Generators of the group modulo torsion |
j |
557375/328 |
j-invariant |
L |
3.8089441656147 |
L(r)(E,1)/r! |
Ω |
0.33224311088716 |
Real period |
R |
1.9107213919126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858i1 124722bk1 |
Quadratic twists by: -3 13 |