Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20570m |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-437112500000000 = -1 · 28 · 511 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-551361,-157629559] |
[a1,a2,a3,a4,a6] |
j |
-153195680944569461209/3612500000000 |
j-invariant |
L |
1.4016187940901 |
L(r)(E,1)/r! |
Ω |
0.087601174630631 |
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 |
102850g1 20570a1 |
Quadratic twists by: 5 -11 |