Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880f |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1515591000000 = -1 · 26 · 39 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1647,-53352] |
[a1,a2,a3,a4,a6] |
Generators |
[13524:1572750:1] |
Generators of the group modulo torsion |
j |
392223168/1203125 |
j-invariant |
L |
4.7342621868075 |
L(r)(E,1)/r! |
Ω |
0.43419018708228 |
Real period |
R |
5.451830016025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880o1 110880ck1 |
Quadratic twists by: -4 -3 |