Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9760b |
Isogeny class |
Conductor |
9760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-886133824000000 = -1 · 212 · 56 · 614 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-620161,188189361] |
[a1,a2,a3,a4,a6] |
Generators |
[12207:3500:27] |
Generators of the group modulo torsion |
j |
-6439880646461859904/216341265625 |
j-invariant |
L |
5.4984567148881 |
L(r)(E,1)/r! |
Ω |
0.46595808810011 |
Real period |
R |
2.9500811635803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9760g2 19520n1 87840bm2 48800k2 |
Quadratic twists by: -4 8 -3 5 |