Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296ck |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1757232484293312 = 26 · 39 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100227,-12045400] |
[a1,a2,a3,a4,a6] |
Generators |
[8588:795314:1] |
Generators of the group modulo torsion |
j |
2386549263163456/37663590627 |
j-invariant |
L |
2.8102327861454 |
L(r)(E,1)/r! |
Ω |
0.26857697298313 |
Real period |
R |
5.2317083346355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cj1 63648v2 42432bq1 |
Quadratic twists by: -4 8 -3 |