Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790fs |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-18772488564480 = -1 · 28 · 38 · 5 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5503,-138351] |
[a1,a2,a3,a4,a6] |
j |
214921799/218880 |
j-invariant |
L |
5.9776557678633 |
L(r)(E,1)/r! |
Ω |
0.37360349057688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930i1 1710n1 |
Quadratic twists by: -3 -7 |