Atkin-Lehner |
2+ 3+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362a |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4590744507072 = 26 · 39 · 232 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8142,265364] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:109:1] [-20:658:1] |
Generators of the group modulo torsion |
j |
3032883421875/233233984 |
j-invariant |
L |
6.1330752250339 |
L(r)(E,1)/r! |
Ω |
0.75658855739136 |
Real period |
R |
2.0265556375118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34362g2 |
Quadratic twists by: -3 |