Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168i |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
435024 = 24 · 33 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
141150208/27189 |
j-invariant |
L |
4.7278850038412 |
L(r)(E,1)/r! |
Ω |
2.115934315542 |
Real period |
R |
0.3724032585443 |
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 |
48336b1 72504bd1 |
Quadratic twists by: -4 -3 |