Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bs |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
109984961286144 = 212 · 36 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5701421,5241322261] |
[a1,a2,a3,a4,a6] |
Generators |
[1391:-1480:1] |
Generators of the group modulo torsion |
j |
28115476317271727409033/150871003136 |
j-invariant |
L |
10.423191491045 |
L(r)(E,1)/r! |
Ω |
0.40353072564305 |
Real period |
R |
0.53812463067797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338c2 |
Quadratic twists by: -3 |