Atkin-Lehner |
2+ 3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906c |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-705417082483932 = -1 · 22 · 36 · 76 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,955,1278201] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1131:1] |
Generators of the group modulo torsion |
j |
817400375/5995946268 |
j-invariant |
L |
3.6808735543139 |
L(r)(E,1)/r! |
Ω |
0.40045690257279 |
Real period |
R |
0.76597371858418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794f1 |
Quadratic twists by: -7 |