Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888r |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3486720 |
Modular degree for the optimal curve |
Δ |
-2.6227144872887E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11+ 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1223592,-579406736] |
[a1,a2,a3,a4,a6] |
Generators |
[515834714508:13060452584164:1027243729] |
Generators of the group modulo torsion |
j |
67849417324588544/87834177520331 |
j-invariant |
L |
4.6992295394373 |
L(r)(E,1)/r! |
Ω |
0.093246039253098 |
Real period |
R |
12.599005751553 |
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 |
129888be1 14432e1 |
Quadratic twists by: -4 -3 |