Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960n |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
5274752000 = 210 · 53 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8205,288797] |
[a1,a2,a3,a4,a6] |
Generators |
[44:105:1] |
Generators of the group modulo torsion |
j |
59664010307584/5151125 |
j-invariant |
L |
9.5374885484412 |
L(r)(E,1)/r! |
Ω |
1.2985266983935 |
Real period |
R |
1.2241422734442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bz1 8120b1 |
Quadratic twists by: -4 8 |