Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420b |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2123747326800 = 24 · 34 · 52 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4301,-81474] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:121:1] |
Generators of the group modulo torsion |
j |
550063754051584/132734207925 |
j-invariant |
L |
4.8101401222576 |
L(r)(E,1)/r! |
Ω |
0.59986611647043 |
Real period |
R |
0.44548274932489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680cb1 73260t1 122100y1 |
Quadratic twists by: -4 -3 5 |