Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12900m |
Isogeny class |
Conductor |
12900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
258000 = 24 · 3 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213,1128] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:980:27] |
Generators of the group modulo torsion |
j |
536870912/129 |
j-invariant |
L |
5.9240229872671 |
L(r)(E,1)/r! |
Ω |
3.0302790672806 |
Real period |
R |
3.9098860901833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600cc1 38700o1 12900g1 |
Quadratic twists by: -4 -3 5 |