Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cc |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2259650417142350232 = 23 · 36 · 76 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-360280,41050241] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:11211:1] |
Generators of the group modulo torsion |
j |
2919363263895961/1275513751512 |
j-invariant |
L |
6.1655034301659 |
L(r)(E,1)/r! |
Ω |
0.23365693986487 |
Real period |
R |
0.36648597785565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006c2 |
Quadratic twists by: -11 |