Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730k |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
29478775040 = 28 · 5 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-809,3405] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1119:1] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
3.5809710895629 |
L(r)(E,1)/r! |
Ω |
1.0420781519489 |
Real period |
R |
3.4363747890366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840cd1 78650cd1 130b1 |
Quadratic twists by: -4 5 -11 |