Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ge |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.7619813542988E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3429348,12269981360] |
[a1,a2,a3,a4,a6] |
Generators |
[5668:462384:1] |
Generators of the group modulo torsion |
j |
77366117936/1172914587 |
j-invariant |
L |
2.9827804929545 |
L(r)(E,1)/r! |
Ω |
0.081617633353035 |
Real period |
R |
4.5682231229714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344cx2 24336q2 32448cq2 7488cc2 |
Quadratic twists by: -4 8 -3 13 |