Atkin-Lehner |
2+ 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990g |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
884183040 = 212 · 34 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4519,116522] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-7:1] |
Generators of the group modulo torsion |
j |
10202640382603369/884183040 |
j-invariant |
L |
3.8763106494622 |
L(r)(E,1)/r! |
Ω |
1.5070408732265 |
Real period |
R |
1.2860668606696 |
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 |
127920y1 47970bh1 79950bk1 |
Quadratic twists by: -4 -3 5 |