Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24180d |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
38688000 = 28 · 3 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-341,2295] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
17179869184/151125 |
j-invariant |
L |
6.8813605355515 |
L(r)(E,1)/r! |
Ω |
2.0578109668462 |
Real period |
R |
1.1146732533452 |
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 |
96720bh1 72540y1 120900o1 |
Quadratic twists by: -4 -3 5 |