Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449ba |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126977760 |
Modular degree for the optimal curve |
Δ |
-6.6187115360038E+29 |
Discriminant |
Eigenvalues |
0 3- 2 7- 4 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1203203526,35693884867954] |
[a1,a2,a3,a4,a6] |
Generators |
[-428603511490989921613621082128559372979576015089267123016827612:13120457642731139478747013603626444420900470386981414843178443351:20130616251190500700925859303905291275032059735861501503327] |
Generators of the group modulo torsion |
j |
464027648/1594323 |
j-invariant |
L |
7.7954845588567 |
L(r)(E,1)/r! |
Ω |
0.02037139490351 |
Real period |
R |
95.667044350427 |
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 |
42483h1 127449q1 127449bt1 |
Quadratic twists by: -3 -7 17 |