Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756m |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
648960 |
Modular degree for the optimal curve |
Δ |
-1818705497617307376 = -1 · 24 · 319 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47643,64760677] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:6561:1] |
Generators of the group modulo torsion |
j |
1025353226967296/155924682580359 |
j-invariant |
L |
6.5335128739502 |
L(r)(E,1)/r! |
Ω |
0.20350535068364 |
Real period |
R |
1.337702926046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21252i1 |
Quadratic twists by: -3 |