Atkin-Lehner |
2+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63296f |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8495445311488 = -1 · 233 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 2 0 2 0 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5953,227649] |
[a1,a2,a3,a4,a6] |
Generators |
[-4956:29901:64] |
Generators of the group modulo torsion |
j |
-89015244625/32407552 |
j-invariant |
L |
10.587887059595 |
L(r)(E,1)/r! |
Ω |
0.69168776200367 |
Real period |
R |
7.6536608288403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296y1 1978e1 |
Quadratic twists by: -4 8 |