Atkin-Lehner |
2+ 3- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882o |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-315659127512386944 = -1 · 27 · 36 · 11 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30427,-27110938] |
[a1,a2,a3,a4,a6] |
Generators |
[107380:4308467:64] |
Generators of the group modulo torsion |
j |
-3115161720438843817/315659127512386944 |
j-invariant |
L |
5.7770886124856 |
L(r)(E,1)/r! |
Ω |
0.13533202944081 |
Real period |
R |
7.1147096962888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74646bz1 |
Quadratic twists by: -3 |