Atkin-Lehner |
3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7995c |
Isogeny class |
Conductor |
7995 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-39950015625 = -1 · 32 · 56 · 132 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1340,20630] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:208:1] [-12:193:1] |
Generators of the group modulo torsion |
j |
-266108264948161/39950015625 |
j-invariant |
L |
3.2877170909834 |
L(r)(E,1)/r! |
Ω |
1.1093184777352 |
Real period |
R |
0.24697724751509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920cb2 23985f2 39975t2 103935a2 |
Quadratic twists by: -4 -3 5 13 |