Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3276a |
Isogeny class |
Conductor |
3276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-3577392 = -1 · 24 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,37] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
3.7038766591093 |
L(r)(E,1)/r! |
Ω |
1.5781460056203 |
Real period |
R |
1.173489856426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104bn1 52416i1 3276b1 81900f1 |
Quadratic twists by: -4 8 -3 5 |