Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120bf |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4389263902310400 = 216 · 312 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41043,-286958] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1350:1] [-78:1562:1] |
Generators of the group modulo torsion |
j |
2560669500241/1469955600 |
j-invariant |
L |
9.1501486014344 |
L(r)(E,1)/r! |
Ω |
0.36427270560427 |
Real period |
R |
6.2797379961912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6390c2 17040x2 |
Quadratic twists by: -4 -3 |