Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12996l |
Isogeny class |
Conductor |
12996 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-103684375296 = -1 · 28 · 310 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -1 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,18772] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:171:1] |
Generators of the group modulo torsion |
j |
-65536/81 |
j-invariant |
L |
5.0935396551505 |
L(r)(E,1)/r! |
Ω |
0.95918087607094 |
Real period |
R |
1.3275753776532 |
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 |
51984cb1 4332b1 12996k1 |
Quadratic twists by: -4 -3 -19 |