Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bz |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2680750080000 = -1 · 219 · 34 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-78719] |
[a1,a2,a3,a4,a6] |
j |
-47045881/10226250 |
j-invariant |
L |
2.8877708968498 |
L(r)(E,1)/r! |
Ω |
0.36097134953939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bb1 24240bo1 |
Quadratic twists by: -4 8 |