Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150bi |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
3662948352000 = 214 · 3 · 53 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5296,115838] |
[a1,a2,a3,a4,a6] |
Generators |
[12:226:1] |
Generators of the group modulo torsion |
j |
131383171726253/29303586816 |
j-invariant |
L |
5.0696409620926 |
L(r)(E,1)/r! |
Ω |
0.74310997423647 |
Real period |
R |
3.4110973731052 |
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 |
72450ew1 24150ca1 |
Quadratic twists by: -3 5 |