Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470s |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-4948119770365952000 = -1 · 222 · 53 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -1 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,96327,-106426919] |
[a1,a2,a3,a4,a6] |
Generators |
[33501:1166980:27] |
Generators of the group modulo torsion |
j |
4095232047999/204996608000 |
j-invariant |
L |
14.870135513875 |
L(r)(E,1)/r! |
Ω |
0.11636302644908 |
Real period |
R |
2.9043385654781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910p1 |
Quadratic twists by: 17 |