Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cg |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
8235095522951808000 = 210 · 313 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867897,279121261] |
[a1,a2,a3,a4,a6] |
j |
19661138099/2239488 |
j-invariant |
L |
1.8033843582517 |
L(r)(E,1)/r! |
Ω |
0.22542304478146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350ca1 22050fg1 22050ch1 |
Quadratic twists by: -3 5 -7 |