Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592z |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
123532021334016 = 222 · 38 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51564,-4474960] |
[a1,a2,a3,a4,a6] |
Generators |
[-23168220:-24773320:185193] |
Generators of the group modulo torsion |
j |
79340706073/646416 |
j-invariant |
L |
7.4917061004162 |
L(r)(E,1)/r! |
Ω |
0.31697594770876 |
Real period |
R |
11.817467783549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38592bv2 1206e2 12864g2 |
Quadratic twists by: -4 8 -3 |