Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
855a |
Isogeny class |
Conductor |
855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-11359551375 = -1 · 314 · 53 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,202,4956] |
[a1,a2,a3,a4,a6] |
j |
1256216039/15582375 |
j-invariant |
L |
0.94240327105651 |
L(r)(E,1)/r! |
Ω |
0.94240327105651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680bg1 54720cl1 285c1 4275g1 |
Quadratic twists by: -4 8 -3 5 |