Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110b |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-33527068731406250 = -1 · 2 · 57 · 7 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144718,-23008762] |
[a1,a2,a3,a4,a6] |
Generators |
[242435950:10334503103:125000] |
Generators of the group modulo torsion |
j |
-142154918459/14218750 |
j-invariant |
L |
2.8979628823842 |
L(r)(E,1)/r! |
Ω |
0.12169789312683 |
Real period |
R |
11.906380662846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110ca1 |
Quadratic twists by: -11 |