Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088h |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-1546219840602112 = -1 · 219 · 137 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 4 4 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-670648,211177812] |
[a1,a2,a3,a4,a6] |
j |
-1687284042625/78208 |
j-invariant |
L |
1.7935287454852 |
L(r)(E,1)/r! |
Ω |
0.44838235928392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15886b1 9776b1 |
Quadratic twists by: -4 13 |