Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7956b |
Isogeny class |
Conductor |
7956 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
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 |
[-25:34:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
2.9509235585541 |
L(r)(E,1)/r! |
Ω |
0.78338340065212 |
Real period |
R |
1.8834478469276 |
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 |
31824x1 127296bc1 2652b1 103428j1 |
Quadratic twists by: -4 8 -3 13 |