Atkin-Lehner |
2+ 3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550z |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6552000 |
Modular degree for the optimal curve |
Δ |
-4.68297842688E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92069076,-340039046702] |
[a1,a2,a3,a4,a6] |
Generators |
[597618849442:121438119564366:13651919] |
Generators of the group modulo torsion |
j |
-220955605859850917265625/119884247728128 |
j-invariant |
L |
5.7202091888023 |
L(r)(E,1)/r! |
Ω |
0.024369190294159 |
Real period |
R |
19.560933018817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550bj1 |
Quadratic twists by: 5 |