Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960dx |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-826281000000 = -1 · 26 · 34 · 56 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4100,108750] |
[a1,a2,a3,a4,a6] |
Generators |
[25:150:1] |
Generators of the group modulo torsion |
j |
-119124538041664/12910640625 |
j-invariant |
L |
9.6688158880136 |
L(r)(E,1)/r! |
Ω |
0.8687844452609 |
Real period |
R |
0.92742758106469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960cr1 48480d2 |
Quadratic twists by: -4 8 |