Atkin-Lehner |
2- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816f |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-12404416 = -1 · 26 · 19 · 1012 |
Discriminant |
Eigenvalues |
2- 2 1 -5 -3 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[36:213:1] |
Generators of the group modulo torsion |
j |
175616/193819 |
j-invariant |
L |
7.6929728281194 |
L(r)(E,1)/r! |
Ω |
1.0485565902587 |
Real period |
R |
3.6683631822686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122816j1 61408b1 |
Quadratic twists by: -4 8 |