Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824x |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
31945981392 = 24 · 312 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1416,18619] |
[a1,a2,a3,a4,a6] |
Generators |
[5:108:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
5.53257192437 |
L(r)(E,1)/r! |
Ω |
1.1360690057748 |
Real period |
R |
2.4349629715481 |
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 |
7956b1 127296db1 10608w1 |
Quadratic twists by: -4 8 -3 |