Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
63900s |
Isogeny class |
Conductor |
63900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
753467085281250000 = 24 · 314 · 59 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2487000,-1509021875] |
[a1,a2,a3,a4,a6] |
j |
74674705399808/33074001 |
j-invariant |
L |
2.1640368871639 |
L(r)(E,1)/r! |
Ω |
0.12022427111159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21300t1 63900t1 |
Quadratic twists by: -3 5 |