Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bj |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-9981235560448 = -1 · 228 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 4 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12833,584129] |
[a1,a2,a3,a4,a6] |
Generators |
[282240:5332103:729] |
Generators of the group modulo torsion |
j |
-891666015625/38075392 |
j-invariant |
L |
12.791642557538 |
L(r)(E,1)/r! |
Ω |
0.71868349635774 |
Real period |
R |
8.8993573561271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125248l1 31312m1 |
Quadratic twists by: -4 8 |