Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16473c |
Isogeny class |
Conductor |
16473 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-27080686925739 = -1 · 310 · 176 · 19 |
Discriminant |
Eigenvalues |
-2 3+ -1 -3 3 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5684,-190272] |
[a1,a2,a3,a4,a6] |
Generators |
[31:121:1] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
1.2610235204047 |
L(r)(E,1)/r! |
Ω |
0.35562367600558 |
Real period |
R |
1.7729746435456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49419c1 57c1 |
Quadratic twists by: -3 17 |