Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050x |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-52374093750000 = -1 · 24 · 36 · 59 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7833,221741] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-702:1] |
Generators of the group modulo torsion |
j |
4665834711/4598000 |
j-invariant |
L |
5.0777489599017 |
L(r)(E,1)/r! |
Ω |
0.41548881461687 |
Real period |
R |
0.76382154898462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450s1 18810bf1 |
Quadratic twists by: -3 5 |