Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675x |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30544650703125 = 34 · 57 · 136 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9126088,-10612219333] |
[a1,a2,a3,a4,a6] |
j |
1114544804970241/405 |
j-invariant |
L |
1.3897874129645 |
L(r)(E,1)/r! |
Ω |
0.086861713310281 |
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 |
38025bc8 2535a7 75b7 |
Quadratic twists by: -3 5 13 |