Atkin-Lehner |
2+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24440c |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
3675776000 = 210 · 53 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416,-1616] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:42:1] |
Generators of the group modulo torsion |
j |
7793764996/3589625 |
j-invariant |
L |
3.4373704243074 |
L(r)(E,1)/r! |
Ω |
1.1044440908491 |
Real period |
R |
3.1123082216545 |
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 |
48880c1 122200t1 |
Quadratic twists by: -4 5 |