Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210y |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5525686278201600 = 28 · 34 · 52 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80729,8064956] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:3043:1] [-69:3682:1] |
Generators of the group modulo torsion |
j |
494557118488441/46967558400 |
j-invariant |
L |
8.2572674130671 |
L(r)(E,1)/r! |
Ω |
0.41663539384782 |
Real period |
R |
2.4773661620592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030g2 |
Quadratic twists by: -7 |