Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050ba |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
123937945554124800 = 217 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127017,4117581] |
[a1,a2,a3,a4,a6] |
j |
2157045625/1179648 |
j-invariant |
L |
1.7258528346136 |
L(r)(E,1)/r! |
Ω |
0.28764213910226 |
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 |
7350ci1 22050fc1 22050bs1 |
Quadratic twists by: -3 5 -7 |