Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344q |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1443412670349312 = 216 · 33 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34476,1652144] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:2028:1] |
Generators of the group modulo torsion |
j |
530604/169 |
j-invariant |
L |
3.0579577574445 |
L(r)(E,1)/r! |
Ω |
0.44264775987041 |
Real period |
R |
1.7270830479364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dx2 12168l2 97344i2 7488e2 |
Quadratic twists by: -4 8 -3 13 |