Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110c |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-7301861847280 = -1 · 24 · 5 · 74 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121453,-16342707] |
[a1,a2,a3,a4,a6] |
Generators |
[1969338:43835931:2744] |
Generators of the group modulo torsion |
j |
-148859304001180739/5485996880 |
j-invariant |
L |
5.5765283884567 |
L(r)(E,1)/r! |
Ω |
0.12786923632181 |
Real period |
R |
10.902795159743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110110cb1 |
Quadratic twists by: -11 |