Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bd |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-800243712 = -1 · 214 · 36 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:81:8] |
Generators of the group modulo torsion |
j |
8192/67 |
j-invariant |
L |
7.2700492051671 |
L(r)(E,1)/r! |
Ω |
1.1623603931829 |
Real period |
R |
3.1272784447077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592bx1 2412b1 4288b1 |
Quadratic twists by: -4 8 -3 |