Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21700b |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-124250515340000000 = -1 · 28 · 57 · 7 · 316 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62867,-15857863] |
[a1,a2,a3,a4,a6] |
Generators |
[187:1550:1] |
Generators of the group modulo torsion |
j |
6869498322944/31062628835 |
j-invariant |
L |
3.6002430940693 |
L(r)(E,1)/r! |
Ω |
0.16678249158289 |
Real period |
R |
0.59962380741466 |
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 |
86800br2 4340a2 |
Quadratic twists by: -4 5 |