Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768p |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
79481789545536 = 26 · 34 · 76 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41382,-3197880] |
[a1,a2,a3,a4,a6] |
j |
122458422894369472/1241902961649 |
j-invariant |
L |
2.0096157987459 |
L(r)(E,1)/r! |
Ω |
0.33493596645765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12768v1 25536dg2 38304x1 89376cp1 |
Quadratic twists by: -4 8 -3 -7 |