Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544df |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1724966240256 = -1 · 229 · 33 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3372,-98352] |
[a1,a2,a3,a4,a6] |
j |
-599077107/243712 |
j-invariant |
L |
2.4568863138207 |
L(r)(E,1)/r! |
Ω |
0.30711078967575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544g1 17136u1 68544db1 |
Quadratic twists by: -4 8 -3 |