Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bb |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
269341249481094672 = 24 · 39 · 73 · 196 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257150,-43475075] |
[a1,a2,a3,a4,a6] |
Generators |
[-373:851:1] |
Generators of the group modulo torsion |
j |
95541140726998875/13683953131184 |
j-invariant |
L |
13.408353769314 |
L(r)(E,1)/r! |
Ω |
0.21403202025949 |
Real period |
R |
1.7401801469997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882e1 |
Quadratic twists by: -3 |