Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bn |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-20720078346240 = -1 · 211 · 33 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4409,189629] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:210:1] |
Generators of the group modulo torsion |
j |
1644195791/3594240 |
j-invariant |
L |
5.9565843871015 |
L(r)(E,1)/r! |
Ω |
0.47343951744271 |
Real period |
R |
0.38125790208616 |
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 |
57330bz1 95550cz1 19110da1 |
Quadratic twists by: -3 5 -7 |