Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050da |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
340483559062500 = 22 · 33 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128855,-17748853] |
[a1,a2,a3,a4,a6] |
Generators |
[879:22960:1] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
8.2305982855293 |
L(r)(E,1)/r! |
Ω |
0.25200666748406 |
Real period |
R |
4.082530021775 |
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 |
22050d3 4410d1 3150w1 |
Quadratic twists by: -3 5 -7 |