Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55176g |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-337224699702012672 = -1 · 28 · 35 · 1111 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,170207,7021621] |
[a1,a2,a3,a4,a6] |
Generators |
[11460:336743:27] |
Generators of the group modulo torsion |
j |
1202423168000/743572467 |
j-invariant |
L |
5.0713380373909 |
L(r)(E,1)/r! |
Ω |
0.18788145998471 |
Real period |
R |
3.3740277231849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352n1 5016b1 |
Quadratic twists by: -4 -11 |