Atkin-Lehner |
2- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816j |
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] |
j |
175616/193819 |
j-invariant |
L |
3.5205630895847 |
L(r)(E,1)/r! |
Ω |
1.7602816474583 |
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 |
122816f1 61408a1 |
Quadratic twists by: -4 8 |