Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
63900z |
Isogeny class |
Conductor |
63900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
707480831250000 = 24 · 313 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 3 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768000,259050625] |
[a1,a2,a3,a4,a6] |
Generators |
[500:225:1] |
Generators of the group modulo torsion |
j |
10995116277760/155277 |
j-invariant |
L |
6.0766604923849 |
L(r)(E,1)/r! |
Ω |
0.46394870895379 |
Real period |
R |
0.72764993861289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300p1 63900l1 |
Quadratic twists by: -3 5 |