Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656ce |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-27630292782661632 = -1 · 214 · 36 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55648,-6217728] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1728:1] |
Generators of the group modulo torsion |
j |
39547260143/57337308 |
j-invariant |
L |
7.513964765448 |
L(r)(E,1)/r! |
Ω |
0.19864265457304 |
Real period |
R |
2.3641588625702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582u1 17808r1 |
Quadratic twists by: -4 -7 |