Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25284k |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-511637618352 = -1 · 24 · 3 · 78 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1699,21972] |
[a1,a2,a3,a4,a6] |
j |
287965184/271803 |
j-invariant |
L |
3.6517849822874 |
L(r)(E,1)/r! |
Ω |
0.60863083038121 |
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 |
101136ca1 75852h1 3612e1 |
Quadratic twists by: -4 -3 -7 |