Atkin-Lehner |
2- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986p |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-1418846 = -1 · 2 · 113 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -1 1 2 11+ 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[14:35:8] |
Generators of the group modulo torsion |
j |
1295029/1066 |
j-invariant |
L |
9.5296063824339 |
L(r)(E,1)/r! |
Ω |
1.4932469571172 |
Real period |
R |
3.1909009554144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986d1 |
Quadratic twists by: -11 |