Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21964c |
Isogeny class |
Conductor |
21964 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-117405135616 = -1 · 28 · 176 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 3 -5 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6165,-189113] |
[a1,a2,a3,a4,a6] |
j |
-4194304/19 |
j-invariant |
L |
0.26931634727306 |
L(r)(E,1)/r! |
Ω |
0.26931634727304 |
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 |
87856r1 76a1 |
Quadratic twists by: -4 17 |