Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470bi |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
158760 |
Modular degree for the optimal curve |
Δ |
-2307690675000 = -1 · 23 · 33 · 55 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15755,-765975] |
[a1,a2,a3,a4,a6] |
j |
-126504750721/675000 |
j-invariant |
L |
9.5849258350143 |
L(r)(E,1)/r! |
Ω |
0.21299835193898 |
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 |
55470b1 |
Quadratic twists by: -43 |