Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9760g |
Isogeny class |
Conductor |
9760 |
Conductor |
∏ cp |
8 |
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] |
j |
-6439880646461859904/216341265625 |
j-invariant |
L |
1.5311404064107 |
L(r)(E,1)/r! |
Ω |
0.085063355911707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9760b2 19520m1 87840n2 48800c2 |
Quadratic twists by: -4 8 -3 5 |