Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050bz |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
87516450000000 = 27 · 36 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24117,1375541] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-32:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
4.0638160167725 |
L(r)(E,1)/r! |
Ω |
0.59592023106573 |
Real period |
R |
3.4096979804704 |
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 |
2450ba1 22050ds1 22050ci1 |
Quadratic twists by: -3 5 -7 |