Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9384a |
Isogeny class |
Conductor |
9384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-394589242368 = -1 · 210 · 34 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1224,-34020] |
[a1,a2,a3,a4,a6] |
j |
-198208728868/385341057 |
j-invariant |
L |
0.759169796269 |
L(r)(E,1)/r! |
Ω |
0.3795848981345 |
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 |
18768e4 75072bp3 28152q3 |
Quadratic twists by: -4 8 -3 |