Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28899a |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-52166034261908307 = -1 · 311 · 138 · 192 |
Discriminant |
Eigenvalues |
0 3- 0 3 -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-65910,12773907] |
[a1,a2,a3,a4,a6] |
j |
-53248000/87723 |
j-invariant |
L |
1.2728610506303 |
L(r)(E,1)/r! |
Ω |
0.31821526265772 |
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 |
9633f1 28899h1 |
Quadratic twists by: -3 13 |