Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12996i |
Isogeny class |
Conductor |
12996 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-113689008 = -1 · 24 · 39 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 -4 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12312,525825] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-27:1] |
Generators of the group modulo torsion |
j |
-1815478272 |
j-invariant |
L |
2.1543785449544 |
L(r)(E,1)/r! |
Ω |
1.5378602863203 |
Real period |
R |
0.23348225714631 |
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 |
51984bv1 12996h1 12996d1 |
Quadratic twists by: -4 -3 -19 |