Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20570b |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2175919798250000000 = -1 · 27 · 59 · 116 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11- 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-803564,286126762] |
[a1,a2,a3,a4,a6] |
Generators |
[208:11209:1] |
Generators of the group modulo torsion |
j |
-32391289681150609/1228250000000 |
j-invariant |
L |
3.5349142421078 |
L(r)(E,1)/r! |
Ω |
0.25847792858776 |
Real period |
R |
2.2793140478321 |
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 |
102850cb2 170c2 |
Quadratic twists by: 5 -11 |