Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200d |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-195750000 = -1 · 24 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 -1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,2875] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:75:1] [-1:57:1] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
9.8465011171392 |
L(r)(E,1)/r! |
Ω |
1.7795404898053 |
Real period |
R |
0.69164632482016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400f1 52200bk1 2088i1 |
Quadratic twists by: -4 -3 5 |