Atkin-Lehner |
2+ 3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710k |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-20600811873342000 = -1 · 24 · 315 · 53 · 233 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 6 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157148,-24965494] |
[a1,a2,a3,a4,a6] |
j |
-429186758089776400441/20600811873342000 |
j-invariant |
L |
3.586736953255 |
L(r)(E,1)/r! |
Ω |
0.11955789844167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
122130bo1 |
Quadratic twists by: -3 |