Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bm |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
306180000000 = 28 · 37 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8175,-283250] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:32:1] |
Generators of the group modulo torsion |
j |
20720464/105 |
j-invariant |
L |
5.4147794259604 |
L(r)(E,1)/r! |
Ω |
0.50223859797709 |
Real period |
R |
2.6953222272093 |
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 |
12600bs1 100800ms1 8400y1 5040n1 |
Quadratic twists by: -4 8 -3 5 |