Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770m |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
4382223120 = 24 · 39 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-1724] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:46:1] |
Generators of the group modulo torsion |
j |
13841287201/6011280 |
j-invariant |
L |
4.2255683159344 |
L(r)(E,1)/r! |
Ω |
1.0783175985909 |
Real period |
R |
1.9593338370143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590u1 113850fi1 |
Quadratic twists by: -3 5 |