Atkin-Lehner |
2- 3+ 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346bg |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
84465165312 = 210 · 33 · 11 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1205,8269] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-208:1] [-23:164:1] |
Generators of the group modulo torsion |
j |
7161156421875/3128339456 |
j-invariant |
L |
15.527686837369 |
L(r)(E,1)/r! |
Ω |
0.97170090485083 |
Real period |
R |
0.79899518259633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346i1 |
Quadratic twists by: -3 |