Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360o |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
317247131250000 = 24 · 36 · 58 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17255,157878] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:735:1] |
Generators of the group modulo torsion |
j |
35511890207512576/19827945703125 |
j-invariant |
L |
7.0072413140121 |
L(r)(E,1)/r! |
Ω |
0.470156332725 |
Real period |
R |
0.62100277665432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48720h1 73080bg1 121800bb1 |
Quadratic twists by: -4 -3 5 |