Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21964a |
Isogeny class |
Conductor |
21964 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-576811431281408 = -1 · 28 · 179 · 19 |
Discriminant |
Eigenvalues |
2- 1 -2 0 -2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4634789,3839002487] |
[a1,a2,a3,a4,a6] |
j |
-1781887227854848/93347 |
j-invariant |
L |
0.77532525329839 |
L(r)(E,1)/r! |
Ω |
0.3876626266492 |
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 |
87856p1 1292b1 |
Quadratic twists by: -4 17 |