Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bt |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
64759312051820100 = 22 · 38 · 52 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-593616,-175859091] |
[a1,a2,a3,a4,a6] |
Generators |
[30561396:21103546545:64] |
Generators of the group modulo torsion |
j |
4792702134385801/13416588900 |
j-invariant |
L |
7.7052492481506 |
L(r)(E,1)/r! |
Ω |
0.17202684572733 |
Real period |
R |
11.197742444878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290f2 |
Quadratic twists by: 13 |