Atkin-Lehner |
2+ 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97006b |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3180635444168 = 23 · 72 · 136 · 412 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6200,168728] |
[a1,a2,a3,a4,a6] |
j |
5461074081/658952 |
j-invariant |
L |
1.5405257847597 |
L(r)(E,1)/r! |
Ω |
0.77026275773683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574h2 |
Quadratic twists by: 13 |