Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536dg |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
51993772992 = 26 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165124,-25881490] |
[a1,a2,a3,a4,a6] |
j |
7779952936541447488/812402703 |
j-invariant |
L |
2.842025917746 |
L(r)(E,1)/r! |
Ω |
0.23683549314548 |
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 |
25536bz1 12768p2 76608ex1 |
Quadratic twists by: -4 8 -3 |