Atkin-Lehner |
2- 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bx |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-50476511235516912 = -1 · 24 · 34 · 77 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,63258,-8902188] |
[a1,a2,a3,a4,a6] |
j |
237947646518063/429043266288 |
j-invariant |
L |
5.9735706548933 |
L(r)(E,1)/r! |
Ω |
0.18667408386347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558k1 |
Quadratic twists by: -7 |