Atkin-Lehner |
2- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850bb |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-16285696000 = -1 · 218 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4473,114937] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-61:1] |
Generators of the group modulo torsion |
j |
-79180175843621/130285568 |
j-invariant |
L |
4.4242423409675 |
L(r)(E,1)/r! |
Ω |
1.237341168899 |
Real period |
R |
0.099322340249766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24850n1 |
Quadratic twists by: 5 |