Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9384a |
Isogeny class |
Conductor |
9384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
352237824 = 28 · 32 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1564,-23276] |
[a1,a2,a3,a4,a6] |
j |
1653756808912/1375929 |
j-invariant |
L |
0.759169796269 |
L(r)(E,1)/r! |
Ω |
0.759169796269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18768e2 75072bp2 28152q2 |
Quadratic twists by: -4 8 -3 |