Atkin-Lehner |
7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5621a |
Isogeny class |
Conductor |
5621 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
275429 = 73 · 11 · 73 |
Discriminant |
Eigenvalues |
-1 2 1 7+ 11+ -4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
887503681/275429 |
j-invariant |
L |
3.5026788877013 |
L(r)(E,1)/r! |
Ω |
2.3117822520484 |
Real period |
R |
1.5151422174807 |
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 |
89936y1 50589j1 39347e1 61831f1 |
Quadratic twists by: -4 -3 -7 -11 |