Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840t |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
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 |
7.7977338377629 |
L(r)(E,1)/r! |
Ω |
0.060919795608229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840bk1 1870c1 |
Quadratic twists by: -4 8 |