Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850k |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4679996688900000000 = 28 · 34 · 58 · 132 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-144222001,-666658177852] |
[a1,a2,a3,a4,a6] |
Generators |
[376228:230461499:1] |
Generators of the group modulo torsion |
j |
21232358201356105374155521/299519788089600 |
j-invariant |
L |
6.4207399192742 |
L(r)(E,1)/r! |
Ω |
0.043565397019241 |
Real period |
R |
9.2113528732518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986817 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770z3 |
Quadratic twists by: 5 |