Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150bb |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-438768515250000 = -1 · 24 · 39 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1908,1006816] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-1036:1] |
Generators of the group modulo torsion |
j |
67419143/38520144 |
j-invariant |
L |
4.9795953709814 |
L(r)(E,1)/r! |
Ω |
0.4119402829189 |
Real period |
R |
0.50367285731714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050bm1 4446v1 |
Quadratic twists by: -3 5 |