Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11730q |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1705936971093750 = 2 · 33 · 58 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90120,-10229238] |
[a1,a2,a3,a4,a6] |
j |
80944540581410686081/1705936971093750 |
j-invariant |
L |
6.6215875818075 |
L(r)(E,1)/r! |
Ω |
0.27589948257531 |
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 |
93840bp3 35190q3 58650m3 |
Quadratic twists by: -4 -3 5 |