Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824z |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6253895651328 = 212 · 312 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37803,-2826470] |
[a1,a2,a3,a4,a6] |
Generators |
[2810:148590:1] |
Generators of the group modulo torsion |
j |
2000852317801/2094417 |
j-invariant |
L |
7.6686180197381 |
L(r)(E,1)/r! |
Ω |
0.34240908757883 |
Real period |
R |
5.5990175917663 |
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 |
1989d1 127296dj1 10608x1 |
Quadratic twists by: -4 8 -3 |