Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dh |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-24816585937500 = -1 · 22 · 33 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7120,-64753] |
[a1,a2,a3,a4,a6] |
Generators |
[342:4325:8] |
Generators of the group modulo torsion |
j |
804357/500 |
j-invariant |
L |
8.3609268188764 |
L(r)(E,1)/r! |
Ω |
0.3875391176596 |
Real period |
R |
2.6968009285647 |
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 |
22050k3 4410c1 450e1 |
Quadratic twists by: -3 5 -7 |