Atkin-Lehner |
2- 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906bg |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
20684105988 = 22 · 3 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-687,-687] |
[a1,a2,a3,a4,a6] |
j |
304821217/175812 |
j-invariant |
L |
2.0334522838522 |
L(r)(E,1)/r! |
Ω |
1.0167261220353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558q1 |
Quadratic twists by: -7 |