Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992j |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-16371217152 = -1 · 28 · 311 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 4 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,-6878] |
[a1,a2,a3,a4,a6] |
Generators |
[26:18:1] |
Generators of the group modulo torsion |
j |
-104272/243 |
j-invariant |
L |
5.1775801091821 |
L(r)(E,1)/r! |
Ω |
0.49889787995118 |
Real period |
R |
2.5945089753081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984w1 8664n1 25992w1 |
Quadratic twists by: -4 -3 -19 |