Atkin-Lehner |
2- 3+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bi |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
3204753849000000 = 26 · 33 · 56 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54782,-4101811] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:967:1] |
Generators of the group modulo torsion |
j |
673389230551095843/118694587000000 |
j-invariant |
L |
8.7981754751107 |
L(r)(E,1)/r! |
Ω |
0.31583056456875 |
Real period |
R |
2.3214386819041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001024 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66330c3 |
Quadratic twists by: -3 |