Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400ci |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-582490828800 = -1 · 212 · 39 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3240,79920] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1836:1] |
Generators of the group modulo torsion |
j |
-1866240/289 |
j-invariant |
L |
7.1061123493732 |
L(r)(E,1)/r! |
Ω |
0.88659166613383 |
Real period |
R |
1.0018863022801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400h1 122400b1 122400m1 |
Quadratic twists by: -4 -3 5 |