Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992r |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4504083824316672 = 28 · 39 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48735,-2592702] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:278:1] |
Generators of the group modulo torsion |
j |
54000/19 |
j-invariant |
L |
5.8483688410442 |
L(r)(E,1)/r! |
Ω |
0.33062254354805 |
Real period |
R |
4.4222399191862 |
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 |
51984d1 25992b1 1368b1 |
Quadratic twists by: -4 -3 -19 |