Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150cr |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
249274368000 = 216 · 33 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2743,49577] |
[a1,a2,a3,a4,a6] |
Generators |
[2:209:1] |
Generators of the group modulo torsion |
j |
18260010268037/1994194944 |
j-invariant |
L |
9.9069573575523 |
L(r)(E,1)/r! |
Ω |
0.95530002076702 |
Real period |
R |
0.21605248661388 |
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 |
72450cj1 24150r1 |
Quadratic twists by: -3 5 |