Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
96408k |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-249889536 = -1 · 28 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,756] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] [-2:26:1] |
Generators of the group modulo torsion |
j |
27648/1339 |
j-invariant |
L |
9.209765382778 |
L(r)(E,1)/r! |
Ω |
1.3307282214426 |
Real period |
R |
0.86510577765451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10712e1 |
Quadratic twists by: -3 |