Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200by |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1.404399272625E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6578175,-6468830750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1555:450:1] [-1485:5000:1] |
Generators of the group modulo torsion |
j |
10795741106269264/48161840625 |
j-invariant |
L |
9.756894760347 |
L(r)(E,1)/r! |
Ω |
0.094295241433617 |
Real period |
R |
6.4669851124028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bl1 17400i1 10440k1 |
Quadratic twists by: -4 -3 5 |