Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304z |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
5124463066368 = 28 · 311 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 6 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5664,-122708] |
[a1,a2,a3,a4,a6] |
Generators |
[86:162:1] |
Generators of the group modulo torsion |
j |
107677745152/27458757 |
j-invariant |
L |
7.5281942716392 |
L(r)(E,1)/r! |
Ω |
0.56067030303243 |
Real period |
R |
1.6783915232517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14076d1 18768bc1 |
Quadratic twists by: -4 -3 |