Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480k |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1125342720000 = -1 · 212 · 38 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9192,343024] |
[a1,a2,a3,a4,a6] |
Generators |
[68:180:1] |
Generators of the group modulo torsion |
j |
-28765126144/376875 |
j-invariant |
L |
8.6720655078844 |
L(r)(E,1)/r! |
Ω |
0.872518866238 |
Real period |
R |
0.6211946980621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96480bf1 32160t1 |
Quadratic twists by: -4 -3 |