Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bu |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5527610424 = 23 · 36 · 72 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7427711,-7789813649] |
[a1,a2,a3,a4,a6] |
Generators |
[3977:157888:1] |
Generators of the group modulo torsion |
j |
62167173500157644301993/7582456 |
j-invariant |
L |
7.1066346624375 |
L(r)(E,1)/r! |
Ω |
0.091450442202141 |
Real period |
R |
6.4758522905477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338d2 |
Quadratic twists by: -3 |