Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15136c |
Isogeny class |
Conductor |
15136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-83308544 = -1 · 212 · 11 · 432 |
Discriminant |
Eigenvalues |
2- -3 3 -2 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136,-752] |
[a1,a2,a3,a4,a6] |
Generators |
[17:43:1] |
Generators of the group modulo torsion |
j |
-67917312/20339 |
j-invariant |
L |
3.5789921727871 |
L(r)(E,1)/r! |
Ω |
0.68840422563834 |
Real period |
R |
1.2997422297446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15136b1 30272i1 |
Quadratic twists by: -4 8 |