Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168be |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-562544776298544 = -1 · 24 · 3 · 134 · 177 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11367,1229010] |
[a1,a2,a3,a4,a6] |
j |
-420616192/1456611 |
j-invariant |
L |
7.2613945853687 |
L(r)(E,1)/r! |
Ω |
0.45383716583978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304k1 |
Quadratic twists by: 17 |