Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61596j |
Isogeny class |
Conductor |
61596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
957940992 = 28 · 37 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2712,54340] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-18:1] [-16:306:1] |
Generators of the group modulo torsion |
j |
11820212224/5133 |
j-invariant |
L |
7.3930285623057 |
L(r)(E,1)/r! |
Ω |
1.5425018580799 |
Real period |
R |
0.39940678858766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532f1 |
Quadratic twists by: -3 |