Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066br |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
5.1185322487733E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24323604,30765167445] |
[a1,a2,a3,a4,a6] |
Generators |
[-1941:266807:1] [1205:56025:1] |
Generators of the group modulo torsion |
j |
898362003697422318937/288927801457206912 |
j-invariant |
L |
11.601424387894 |
L(r)(E,1)/r! |
Ω |
0.085762527561898 |
Real period |
R |
2.4156038602262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006h3 |
Quadratic twists by: -11 |