Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860v |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-53625600 = -1 · 28 · 32 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541,-5041] |
[a1,a2,a3,a4,a6] |
j |
-1398562816/4275 |
j-invariant |
L |
1.9791734701017 |
L(r)(E,1)/r! |
Ω |
0.49479336745323 |
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 |
55860i1 |
Quadratic twists by: -7 |