Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400ce |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-799027200 = -1 · 212 · 33 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -6 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360,2960] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:68:1] [1:51:1] |
Generators of the group modulo torsion |
j |
-1866240/289 |
j-invariant |
L |
10.451336066659 |
L(r)(E,1)/r! |
Ω |
1.5356218113109 |
Real period |
R |
0.85074137291602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400b1 122400h1 122400r1 |
Quadratic twists by: -4 -3 5 |