Atkin-Lehner |
2- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650n |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-246820333931375000 = -1 · 23 · 56 · 197 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,147337,9935781] |
[a1,a2,a3,a4,a6] |
j |
22638047668438103/15796501371608 |
j-invariant |
L |
2.3687995018244 |
L(r)(E,1)/r! |
Ω |
0.19739995849834 |
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 |
1786b1 |
Quadratic twists by: 5 |