Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bv |
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 |
[5165:370845:1] |
Generators of the group modulo torsion |
j |
79340706073/646416 |
j-invariant |
L |
6.3207844314497 |
L(r)(E,1)/r! |
Ω |
0.59083650177877 |
Real period |
R |
5.3490131469719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38592z2 9648q2 12864bj2 |
Quadratic twists by: -4 8 -3 |