Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15936s |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-61959168 = -1 · 210 · 36 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75,261] |
[a1,a2,a3,a4,a6] |
j |
44957696/60507 |
j-invariant |
L |
1.327624480343 |
L(r)(E,1)/r! |
Ω |
1.327624480343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15936n1 3984h1 47808cd1 |
Quadratic twists by: -4 8 -3 |