Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bm |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
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 |
[-38:105:8] |
Generators of the group modulo torsion |
j |
1544804416/660275 |
j-invariant |
L |
7.1223875211513 |
L(r)(E,1)/r! |
Ω |
1.5837581331308 |
Real period |
R |
2.2485717270073 |
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 |
24640bh1 12320m2 123200ef1 |
Quadratic twists by: -4 8 5 |