Atkin-Lehner |
2+ 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13530j |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-25018323000 = -1 · 23 · 3 · 53 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24578888,-46904057362] |
[a1,a2,a3,a4,a6] |
j |
-1642140750896013526054039801/25018323000 |
j-invariant |
L |
1.8307235291937 |
L(r)(E,1)/r! |
Ω |
0.033902287577661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240x2 40590be2 67650bw2 |
Quadratic twists by: -4 -3 5 |