Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121086u |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
63835200 |
Modular degree for the optimal curve |
Δ |
-1.5164741951752E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,117665140,-5904453483889] |
[a1,a2,a3,a4,a6] |
Generators |
[4337745:788072897:125] |
Generators of the group modulo torsion |
j |
289765104938375/24390120480768 |
j-invariant |
L |
9.8253509012755 |
L(r)(E,1)/r! |
Ω |
0.018721456275679 |
Real period |
R |
3.3642157696017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362m1 121086v1 |
Quadratic twists by: -3 -31 |