Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854r |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-6.1875690788437E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1965977,-1126642311] |
[a1,a2,a3,a4,a6] |
Generators |
[5140:350377:1] |
Generators of the group modulo torsion |
j |
-840347716046483516416273/61875690788436630336 |
j-invariant |
L |
6.4039415541379 |
L(r)(E,1)/r! |
Ω |
0.06348044075344 |
Real period |
R |
0.56044748045666 |
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 |
62832bd2 23562q2 54978bm2 86394w2 |
Quadratic twists by: -4 -3 -7 -11 |