Atkin-Lehner |
2+ 3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042r |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6621347720762577936 = 24 · 318 · 74 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-491841,-47830163] |
[a1,a2,a3,a4,a6] |
Generators |
[-4767:158611:27] |
Generators of the group modulo torsion |
j |
18049736530420002577/9082781509962384 |
j-invariant |
L |
5.4675896961004 |
L(r)(E,1)/r! |
Ω |
0.19003680739526 |
Real period |
R |
7.192803559204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28014m2 |
Quadratic twists by: -3 |