Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960dy |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2.8816836648763E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1402175,-508099777] |
[a1,a2,a3,a4,a6] |
Generators |
[6671:552960:1] |
Generators of the group modulo torsion |
j |
1163027916345872591/1099275079680000 |
j-invariant |
L |
9.7394963798507 |
L(r)(E,1)/r! |
Ω |
0.094671540132808 |
Real period |
R |
0.53581618681263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960r1 24240r1 |
Quadratic twists by: -4 8 |