Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610p |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
Δ |
-1.167900131446E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1206156,-1721562864] |
[a1,a2,a3,a4,a6] |
Generators |
[2786:127232:1] |
Generators of the group modulo torsion |
j |
-194059174370020522815169/1167900131445978000000 |
j-invariant |
L |
7.0728995411932 |
L(r)(E,1)/r! |
Ω |
0.0644252360522 |
Real period |
R |
0.52278386653317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880bh2 25830r2 43050b2 60270z2 |
Quadratic twists by: -4 -3 5 -7 |