Atkin-Lehner |
3+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205g |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-859964189175 = -1 · 33 · 52 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2308,14019] |
[a1,a2,a3,a4,a6] |
j |
1358742243975479/859964189175 |
j-invariant |
L |
2.2104685349472 |
L(r)(E,1)/r! |
Ω |
0.55261713373682 |
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 |
69615j1 116025bh1 |
Quadratic twists by: -3 5 |