Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bl |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110223360 |
Modular degree for the optimal curve |
Δ |
2.254569663776E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4393216875,-109725501293750] |
[a1,a2,a3,a4,a6] |
Generators |
[-73259373832886436298389:2107178538777517821167606:2106213904278706321] |
Generators of the group modulo torsion |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
7.9579897419912 |
L(r)(E,1)/r! |
Ω |
0.018571208359283 |
Real period |
R |
35.709351755838 |
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 |
41400bs1 27600v1 82800bz1 |
Quadratic twists by: -4 -3 5 |