Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dn |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13757750911696896 = -1 · 233 · 36 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185484,-31260944] |
[a1,a2,a3,a4,a6] |
Generators |
[31902:5697536:1] |
Generators of the group modulo torsion |
j |
-1680914269/32768 |
j-invariant |
L |
4.0598284197885 |
L(r)(E,1)/r! |
Ω |
0.11489235410795 |
Real period |
R |
4.4169915078927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344go2 3042h2 10816s2 97344dk2 |
Quadratic twists by: -4 8 -3 13 |