Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cp |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-13132937278125000 = -1 · 23 · 36 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,49383,3531541] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
1.5732501521514 |
L(r)(E,1)/r! |
Ω |
0.2622083586919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450bf1 22050ei1 3150u1 |
Quadratic twists by: -3 5 -7 |