Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488co |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
60506899365888 = 214 · 32 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60497,-5694927] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:96:1] [941:27744:1] |
Generators of the group modulo torsion |
j |
61918288/153 |
j-invariant |
L |
8.1590119898144 |
L(r)(E,1)/r! |
Ω |
0.30445981990426 |
Real period |
R |
3.3497901268169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488bk1 13872m1 3264be1 |
Quadratic twists by: -4 8 17 |