Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770a |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
329714735390726400 = 28 · 36 · 52 · 114 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-173228,2551632] |
[a1,a2,a3,a4,a6] |
Generators |
[8:1076:1] |
Generators of the group modulo torsion |
j |
119102750067601/68309049600 |
j-invariant |
L |
3.1279397818155 |
L(r)(E,1)/r! |
Ω |
0.26042631974763 |
Real period |
R |
3.0027108865067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
330c2 |
Quadratic twists by: 13 |