Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bh |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
42257600 = 26 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,154] |
[a1,a2,a3,a4,a6] |
Generators |
[9:10:1] |
Generators of the group modulo torsion |
j |
1544804416/660275 |
j-invariant |
L |
3.090215598899 |
L(r)(E,1)/r! |
Ω |
1.8347186853618 |
Real period |
R |
1.6842994097973 |
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 |
24640bm1 12320g2 123200gf1 |
Quadratic twists by: -4 8 5 |