Atkin-Lehner |
3- 5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945m |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-1.427782585144E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 2 13- -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-872028,654786254] |
[a1,a2,a3,a4,a6] |
Generators |
[21076:3056826:1] |
Generators of the group modulo torsion |
j |
-100597566169234538496/195854949951171875 |
j-invariant |
L |
5.0545035933489 |
L(r)(E,1)/r! |
Ω |
0.16367825218637 |
Real period |
R |
7.7201819301383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105g1 |
Quadratic twists by: -3 |