Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824i |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
536170752 = 28 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207,270] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:36:1] [-2:26:1] |
Generators of the group modulo torsion |
j |
5256144/2873 |
j-invariant |
L |
6.3511688391341 |
L(r)(E,1)/r! |
Ω |
1.4318640119513 |
Real period |
R |
2.2177974954759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15912o1 127296dg1 3536c1 |
Quadratic twists by: -4 8 -3 |