Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270m |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
38553322500 = 22 · 32 · 54 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1337,15729] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:146:1] [-266:1393:8] |
Generators of the group modulo torsion |
j |
264621653112601/38553322500 |
j-invariant |
L |
5.980930320256 |
L(r)(E,1)/r! |
Ω |
1.1055064354318 |
Real period |
R |
0.67626588690094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810di2 |
Quadratic twists by: -3 |