Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
24208f |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-203071422464 = -1 · 227 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3 -1 0 0 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1397,-8134] |
[a1,a2,a3,a4,a6] |
Generators |
[13887:116162:729] |
Generators of the group modulo torsion |
j |
73612739871/49577984 |
j-invariant |
L |
8.6142671445125 |
L(r)(E,1)/r! |
Ω |
0.56950129773148 |
Real period |
R |
7.5629916725618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026c1 96832u1 |
Quadratic twists by: -4 8 |