Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288g |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13745664 |
Modular degree for the optimal curve |
Δ |
6.9261254986098E+22 |
Discriminant |
Eigenvalues |
2+ -2 4 0 2 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12466401,11251860607] |
[a1,a2,a3,a4,a6] |
Generators |
[-820443937324901879910160049573477093868670:-84037021108698494945198090068672517719494109:510064545595919291876583807779002177000] |
Generators of the group modulo torsion |
j |
817348184878300169401/264210720009224192 |
j-invariant |
L |
6.8726951674253 |
L(r)(E,1)/r! |
Ω |
0.10128320935608 |
Real period |
R |
67.85621521163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998778279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116288bf1 3634a1 |
Quadratic twists by: -4 8 |