Atkin-Lehner |
19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95779a |
Isogeny class |
Conductor |
95779 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-12269317093669459 = -1 · 19 · 718 |
Discriminant |
Eigenvalues |
0 0 -1 -1 -1 -6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40328,-6173965] |
[a1,a2,a3,a4,a6] |
j |
-56623104/95779 |
j-invariant |
L |
0.31849670785305 |
L(r)(E,1)/r! |
Ω |
0.15924828451486 |
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 |
1349a1 |
Quadratic twists by: -71 |