Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860bb |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
972 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-48022026444000000 = -1 · 28 · 36 · 56 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101005,16208975] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-1995:1] |
Generators of the group modulo torsion |
j |
-185406307803136/78128296875 |
j-invariant |
L |
7.4573294583531 |
L(r)(E,1)/r! |
Ω |
0.33511662264872 |
Real period |
R |
0.20604572309916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55860b1 |
Quadratic twists by: -7 |