Atkin-Lehner |
2- 3- 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818bi |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
6717440 |
Modular degree for the optimal curve |
Δ |
-1.5597567208437E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13071245,-18187340619] |
[a1,a2,a3,a4,a6] |
Generators |
[4667:147480:1] |
Generators of the group modulo torsion |
j |
-338802820680219818847625/21395839792094208 |
j-invariant |
L |
9.0583223246429 |
L(r)(E,1)/r! |
Ω |
0.039699832771148 |
Real period |
R |
2.8521286115147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39606e1 |
Quadratic twists by: -3 |