Atkin-Lehner |
3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
66063h |
Isogeny class |
Conductor |
66063 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-90880795139384223 = -1 · 35 · 1910 · 61 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,68041,-12789072] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1543:1] [169:1798:1] |
Generators of the group modulo torsion |
j |
740480746823/1931748183 |
j-invariant |
L |
6.7112677908906 |
L(r)(E,1)/r! |
Ω |
0.1747321521237 |
Real period |
R |
7.6817777487595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3477a1 |
Quadratic twists by: -19 |