Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010w |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18899093261718750 = 2 · 3 · 512 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-772961,-261548709] |
[a1,a2,a3,a4,a6] |
j |
51073602635162593292689/18899093261718750 |
j-invariant |
L |
5.7965862400459 |
L(r)(E,1)/r! |
Ω |
0.16101628444572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030r4 100050c4 |
Quadratic twists by: -3 5 |