Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dg |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
99167655466893312 = 220 · 316 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121836,6194864] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:4212:1] |
Generators of the group modulo torsion |
j |
476379541/236196 |
j-invariant |
L |
3.5365940972159 |
L(r)(E,1)/r! |
Ω |
0.29850710425433 |
Real period |
R |
2.961901110519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gk2 3042n2 32448p2 97344dc2 |
Quadratic twists by: -4 8 -3 13 |