Atkin-Lehner |
3+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583f |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45484419991958703 = 32 · 79 · 194 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 6 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96433,5210120] |
[a1,a2,a3,a4,a6] |
j |
2457642262375/1127146329 |
j-invariant |
L |
1.2872248683592 |
L(r)(E,1)/r! |
Ω |
0.32180622592579 |
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 |
86583bb2 |
Quadratic twists by: -7 |