Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086k |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-1196570258724864 = -1 · 211 · 3 · 417 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69797,-7295728] |
[a1,a2,a3,a4,a6] |
j |
-7916293657/251904 |
j-invariant |
L |
2.6385823574178 |
L(r)(E,1)/r! |
Ω |
0.14658790874543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688p1 30258v1 246g1 |
Quadratic twists by: -4 -3 41 |