Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063bc |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-2.9386185634453E+20 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1528295,1099958150] |
[a1,a2,a3,a4,a6] |
Generators |
[-774:43033:1] |
Generators of the group modulo torsion |
j |
-4602875775513625/3426316276383 |
j-invariant |
L |
3.8493991726636 |
L(r)(E,1)/r! |
Ω |
0.15903857564144 |
Real period |
R |
2.0170154512289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21021i1 9009k1 |
Quadratic twists by: -3 -7 |