Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271j |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
226560 |
Modular degree for the optimal curve |
Δ |
-876219201 = -1 · 34 · 112 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3+ -3 -4 11- 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19757,1060652] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-29:1] [-12:1144:1] |
Generators of the group modulo torsion |
j |
-5046629022322537/5184729 |
j-invariant |
L |
4.406311063601 |
L(r)(E,1)/r! |
Ω |
1.3264209316165 |
Real period |
R |
0.41524441421739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128271c1 |
Quadratic twists by: 13 |