Atkin-Lehner |
2- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64130t |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-938927330000000000 = -1 · 210 · 510 · 116 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- 2 11- -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,148323,-41146971] |
[a1,a2,a3,a4,a6] |
Generators |
[487:-12344:1] |
Generators of the group modulo torsion |
j |
203702260843719/530000000000 |
j-invariant |
L |
6.1807798574836 |
L(r)(E,1)/r! |
Ω |
0.14384945373505 |
Real period |
R |
0.21483501317397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
530c1 |
Quadratic twists by: -11 |