Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fq |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.6212411113363E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-440076,-223953392] |
[a1,a2,a3,a4,a6] |
Generators |
[18614698791:-319072236769:19034163] |
Generators of the group modulo torsion |
j |
-10218313/17576 |
j-invariant |
L |
9.7741090285999 |
L(r)(E,1)/r! |
Ω |
0.087566340237369 |
Real period |
R |
13.952434522936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cl2 24336by2 10816bf2 7488bv2 |
Quadratic twists by: -4 8 -3 13 |