Atkin-Lehner |
2+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62560a |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-6109375000000 = -1 · 26 · 512 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10286,-415360] |
[a1,a2,a3,a4,a6] |
j |
-1880725960305856/95458984375 |
j-invariant |
L |
0.9453276427588 |
L(r)(E,1)/r! |
Ω |
0.2363319113955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62560c1 125120cz1 |
Quadratic twists by: -4 8 |