Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bi |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
25804800 |
Modular degree for the optimal curve |
Δ |
6.4492192650154E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81270509,-254134541199] |
[a1,a2,a3,a4,a6] |
Generators |
[169728531019:43093342140342:2571353] |
Generators of the group modulo torsion |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
13.557092546447 |
L(r)(E,1)/r! |
Ω |
0.050636634790009 |
Real period |
R |
13.386644467357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362f1 3906s1 |
Quadratic twists by: -3 -31 |