Atkin-Lehner |
2+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986i |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
10576852 = 22 · 112 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 1 -2 0 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157,724] |
[a1,a2,a3,a4,a6] |
Generators |
[2:19:1] |
Generators of the group modulo torsion |
j |
3504731857/87412 |
j-invariant |
L |
4.1785938023189 |
L(r)(E,1)/r! |
Ω |
2.276293368976 |
Real period |
R |
0.45892521988797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986y1 |
Quadratic twists by: -11 |