Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168u |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
32448 |
Modular degree for the optimal curve |
Δ |
25687732176 = 24 · 313 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9651,-368082] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:9:1] |
Generators of the group modulo torsion |
j |
6213920254633984/1605483261 |
j-invariant |
L |
6.5738351277798 |
L(r)(E,1)/r! |
Ω |
0.48168093745718 |
Real period |
R |
0.52491139454609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336e1 72504l1 |
Quadratic twists by: -4 -3 |