Atkin-Lehner |
2+ 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150k |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8755200 |
Modular degree for the optimal curve |
Δ |
-2.3251136352539E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1801683,-7277513659] |
[a1,a2,a3,a4,a6] |
Generators |
[1729:30823:1] |
Generators of the group modulo torsion |
j |
1533115690987867533/55113804687500000 |
j-invariant |
L |
3.2820467745232 |
L(r)(E,1)/r! |
Ω |
0.057805692796122 |
Real period |
R |
2.8388612192803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999950861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150dg1 22230x1 |
Quadratic twists by: -3 5 |