Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bj |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-1555008987723750000 = -1 · 24 · 318 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143442,63571716] |
[a1,a2,a3,a4,a6] |
Generators |
[-416:7358:1] |
Generators of the group modulo torsion |
j |
-28655425171801/136516564080 |
j-invariant |
L |
5.6981570657378 |
L(r)(E,1)/r! |
Ω |
0.23243616303606 |
Real period |
R |
3.0643666636569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050cc1 22230bf1 |
Quadratic twists by: -3 5 |