Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570d |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760000 |
Modular degree for the optimal curve |
Δ |
-3.7711292294863E+24 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 11- 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-295220037,-1954748597171] |
[a1,a2,a3,a4,a6] |
Generators |
[7030216082841:-2797108578391658:43986977] |
Generators of the group modulo torsion |
j |
-1606220241149825308027441/2128704136908800000 |
j-invariant |
L |
3.5409843511636 |
L(r)(E,1)/r! |
Ω |
0.018209524119498 |
Real period |
R |
19.445781932171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cj1 1870h1 |
Quadratic twists by: 5 -11 |