Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960ba |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-2411315200 = -1 · 214 · 52 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,2321] |
[a1,a2,a3,a4,a6] |
Generators |
[61:480:1] |
Generators of the group modulo torsion |
j |
3286064/147175 |
j-invariant |
L |
9.0609172549595 |
L(r)(E,1)/r! |
Ω |
1.1003139846986 |
Real period |
R |
2.0587117360949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960j1 16240g1 |
Quadratic twists by: -4 8 |