Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560r |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16536960000 = 210 · 34 · 54 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-551240,-157712412] |
[a1,a2,a3,a4,a6] |
Generators |
[7818:123375:8] |
Generators of the group modulo torsion |
j |
18090339423733297444/16149375 |
j-invariant |
L |
9.8476697189044 |
L(r)(E,1)/r! |
Ω |
0.17521218599623 |
Real period |
R |
7.0255314024409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280e4 |
Quadratic twists by: -4 |