Atkin-Lehner |
2+ 3- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934o |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-3035270137354693992 = -1 · 23 · 311 · 135 · 193 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -5 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1233936,-533887416] |
[a1,a2,a3,a4,a6] |
Generators |
[9993:987456:1] |
Generators of the group modulo torsion |
j |
-285019311441186406657/4163607870171048 |
j-invariant |
L |
5.8349539991975 |
L(r)(E,1)/r! |
Ω |
0.071559813649059 |
Real period |
R |
2.0384883889614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978w1 |
Quadratic twists by: -3 |