Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
35400d |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-4459380480000 = -1 · 211 · 310 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3592,57612] |
[a1,a2,a3,a4,a6] |
Generators |
[3332:39609:64] |
Generators of the group modulo torsion |
j |
4003149550/3483891 |
j-invariant |
L |
4.6704675334678 |
L(r)(E,1)/r! |
Ω |
0.50410769052422 |
Real period |
R |
4.6324105159059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800q1 106200bm1 35400o1 |
Quadratic twists by: -4 -3 5 |