Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798bo |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-512633561461751808 = -1 · 216 · 38 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59351,-34879633] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/145686528 |
j-invariant |
L |
2.0302738561777 |
L(r)(E,1)/r! |
Ω |
0.12689211589907 |
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 |
19266j1 4446h1 |
Quadratic twists by: -3 13 |