Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cx |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4021248 |
Modular degree for the optimal curve |
Δ |
-6224981904240000000 = -1 · 210 · 3 · 57 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8218481,-9072034281] |
[a1,a2,a3,a4,a6] |
Generators |
[60038806110633437889510281108963647385886382351601875585612754009651502298553119875302768949249594605016697573940077827750:13706549321618082469284502470326741716614617494152106071552197542423184282898384104499721679065802250183807696521283824365923:1148451344047231682124844164241062350938131095059818201706090199139237671189362005314911614829443736213675191771484375] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
8.4970429823669 |
L(r)(E,1)/r! |
Ω |
0.044582972771147 |
Real period |
R |
190.58942134666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160fd1 14520bf1 116160cy1 |
Quadratic twists by: -4 8 -11 |