Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ci |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
891371250000 = 24 · 33 · 57 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12783,550188] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:1050:1] |
Generators of the group modulo torsion |
j |
924093773824/3565485 |
j-invariant |
L |
8.9500878497351 |
L(r)(E,1)/r! |
Ω |
0.89076022993379 |
Real period |
R |
0.83730798546623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200c1 18480a1 |
Quadratic twists by: -4 5 |