Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216g |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7529472 = 210 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156864,-23965308] |
[a1,a2,a3,a4,a6] |
Generators |
[-11693835783:-528156:51064811] |
Generators of the group modulo torsion |
j |
416865908534471428/7353 |
j-invariant |
L |
5.4134839631562 |
L(r)(E,1)/r! |
Ω |
0.23989351209125 |
Real period |
R |
11.283097896154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19608a4 117648f4 |
Quadratic twists by: -4 -3 |