Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cq |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3420073230336 = 222 · 32 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4257,-60705] |
[a1,a2,a3,a4,a6] |
Generators |
[-72017:158340:1331] |
Generators of the group modulo torsion |
j |
32553430057/13046544 |
j-invariant |
L |
9.0715139863211 |
L(r)(E,1)/r! |
Ω |
0.61190030751874 |
Real period |
R |
7.4125751163697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998857 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57792z2 14448p2 |
Quadratic twists by: -4 8 |