Atkin-Lehner |
2+ 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934w |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-72482332060242 = -1 · 2 · 311 · 135 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -2 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2511,413095] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:560:1] [-146:5455:8] |
Generators of the group modulo torsion |
j |
-2402335209457/99427067298 |
j-invariant |
L |
9.7103497787752 |
L(r)(E,1)/r! |
Ω |
0.51079236325029 |
Real period |
R |
0.95051830069578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978q1 |
Quadratic twists by: -3 |