Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210y |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
104435266682880 = 216 · 32 · 5 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18009,-791108] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:344:1] [-52:99:1] |
Generators of the group modulo torsion |
j |
5489965305721/887685120 |
j-invariant |
L |
8.2572674130671 |
L(r)(E,1)/r! |
Ω |
0.41663539384782 |
Real period |
R |
9.9094646482367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030g1 |
Quadratic twists by: -7 |