Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960dc |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-39563558400000 = -1 · 212 · 3 · 55 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1641,303159] |
[a1,a2,a3,a4,a6] |
Generators |
[9579:180116:27] |
Generators of the group modulo torsion |
j |
-119386201024/9659071875 |
j-invariant |
L |
7.9733181897514 |
L(r)(E,1)/r! |
Ω |
0.5324888377074 |
Real period |
R |
7.4868406877143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bw1 48480n1 |
Quadratic twists by: -4 8 |