Atkin-Lehner |
2+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920j |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50384076800 = 221 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68225,-6881825] |
[a1,a2,a3,a4,a6] |
j |
133974081659809/192200 |
j-invariant |
L |
1.1816073039221 |
L(r)(E,1)/r! |
Ω |
0.29540182598051 |
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 |
9920bh2 310a2 89280y2 49600j2 |
Quadratic twists by: -4 8 -3 5 |