Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768p |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1070178969034847232 = 210 · 32 · 1112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-597624,170517312] |
[a1,a2,a3,a4,a6] |
j |
23051997945147370468/1045096649448093 |
j-invariant |
L |
2.1850864508028 |
L(r)(E,1)/r! |
Ω |
0.27313580635035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536g4 78144q3 29304e3 107448j3 |
Quadratic twists by: -4 8 -3 -11 |