Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770br |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1700749609441740000 = 25 · 36 · 54 · 11 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4093606,-3189006397] |
[a1,a2,a3,a4,a6] |
Generators |
[63327:-326327:27] |
Generators of the group modulo torsion |
j |
715404503176453/160380000 |
j-invariant |
L |
8.4068195789849 |
L(r)(E,1)/r! |
Ω |
0.10613995189416 |
Real period |
R |
7.9205044178547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770s2 |
Quadratic twists by: 13 |