Atkin-Lehner |
2+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44200i |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
13284752000000 = 210 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41808,3299612] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:2550:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
8.7218041340804 |
L(r)(E,1)/r! |
Ω |
0.70772221143799 |
Real period |
R |
2.0539612843178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400n1 1768b1 |
Quadratic twists by: -4 5 |