Atkin-Lehner |
3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55419d |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1053444087423 = 32 · 77 · 132 · 292 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-309068,-66263595] |
[a1,a2,a3,a4,a6] |
j |
27752351856337081/8954127 |
j-invariant |
L |
3.2397078817649 |
L(r)(E,1)/r! |
Ω |
0.20248174254118 |
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 |
7917d2 |
Quadratic twists by: -7 |