Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bm |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
128595600000000 = 210 · 38 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12675,63250] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:756:1] |
Generators of the group modulo torsion |
j |
19307236/11025 |
j-invariant |
L |
5.4147794259604 |
L(r)(E,1)/r! |
Ω |
0.50223859797709 |
Real period |
R |
1.3476611136047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12600bs2 100800ms2 8400y2 5040n2 |
Quadratic twists by: -4 8 -3 5 |