Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18050d |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-40335962222375000 = -1 · 23 · 56 · 199 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -2 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10717,9674941] |
[a1,a2,a3,a4,a6] |
Generators |
[-1347:86411:27] |
Generators of the group modulo torsion |
j |
-27/8 |
j-invariant |
L |
2.3747950487628 |
L(r)(E,1)/r! |
Ω |
0.29520348077673 |
Real period |
R |
2.0111509546858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722d1 18050q1 |
Quadratic twists by: 5 -19 |