Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840bk |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
-22616954183352320 = -1 · 241 · 5 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -3 5- 0 11+ 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2357452,1393215376] |
[a1,a2,a3,a4,a6] |
j |
-5527291469021688969/86276833280 |
j-invariant |
L |
1.3942718667039 |
L(r)(E,1)/r! |
Ω |
0.34856796604864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840t1 14960l1 |
Quadratic twists by: -4 8 |