Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050ce |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
6.979381320024E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19575117,33097004541] |
[a1,a2,a3,a4,a6] |
Generators |
[2193:25584:1] |
Generators of the group modulo torsion |
j |
505318200625/4251528 |
j-invariant |
L |
3.0820800106982 |
L(r)(E,1)/r! |
Ω |
0.13348531408005 |
Real period |
R |
3.8482136055429 |
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 |
7350cu1 22050dy1 22050cw1 |
Quadratic twists by: -3 5 -7 |