Atkin-Lehner |
2- 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582x |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
63433531332 = 22 · 32 · 176 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3763,-89587] |
[a1,a2,a3,a4,a6] |
j |
244140625/2628 |
j-invariant |
L |
4.8796388038469 |
L(r)(E,1)/r! |
Ω |
0.60995503731916 |
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 |
438b1 |
Quadratic twists by: 17 |