Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992l |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-113689008 = -1 · 24 · 39 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 0 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114,209] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-27:1] |
Generators of the group modulo torsion |
j |
38912/27 |
j-invariant |
L |
3.3110075067777 |
L(r)(E,1)/r! |
Ω |
1.1831015823119 |
Real period |
R |
0.3498228254741 |
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 |
51984y1 8664j1 25992x1 |
Quadratic twists by: -4 -3 -19 |