Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120s |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2306306326947840 = 211 · 314 · 5 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86547,9523726] |
[a1,a2,a3,a4,a6] |
j |
48020014488098/1544754645 |
j-invariant |
L |
1.8323360192589 |
L(r)(E,1)/r! |
Ω |
0.45808400300034 |
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 |
26040r2 |
Quadratic twists by: -3 |