Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642r |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-5465053476 = -1 · 22 · 36 · 374 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -2 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257,3957] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:78:1] |
Generators of the group modulo torsion |
j |
-1369/4 |
j-invariant |
L |
8.2802167510342 |
L(r)(E,1)/r! |
Ω |
1.1932725807884 |
Real period |
R |
0.57825686577853 |
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 |
2738a1 24642f1 |
Quadratic twists by: -3 37 |