Atkin-Lehner |
3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483c |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
177268070133 = 39 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4767,-123868] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:12521:8] |
Generators of the group modulo torsion |
j |
608722171875/9006151 |
j-invariant |
L |
5.404804265522 |
L(r)(E,1)/r! |
Ω |
0.57507327624768 |
Real period |
R |
4.699230940436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21483f2 |
Quadratic twists by: -3 |