Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cr |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-288046373142528 = -1 · 222 · 34 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4315,809601] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-2777:1] [-62:583:1] |
Generators of the group modulo torsion |
j |
6675468736789/216413503488 |
j-invariant |
L |
14.544260974234 |
L(r)(E,1)/r! |
Ω |
0.41310638816867 |
Real period |
R |
0.40008021570853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066s1 |
Quadratic twists by: -11 |