Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ee |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
15728640 |
Modular degree for the optimal curve |
Δ |
-2.1262509462086E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10057505,25358112497] |
[a1,a2,a3,a4,a6] |
Generators |
[-2505:187876:1] |
Generators of the group modulo torsion |
j |
-9877496597620516801/18666674973573120 |
j-invariant |
L |
13.559713810393 |
L(r)(E,1)/r! |
Ω |
0.089121582488836 |
Real period |
R |
1.9018560646367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050bb1 22230p1 |
Quadratic twists by: -3 5 |