Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bh |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-6355027014336 = -1 · 26 · 32 · 73 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4595,18632] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1046:1] |
Generators of the group modulo torsion |
j |
733069880807/434056896 |
j-invariant |
L |
5.1135360672577 |
L(r)(E,1)/r! |
Ω |
0.45862733514272 |
Real period |
R |
0.30971260903586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066cn2 |
Quadratic twists by: -11 |