Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270m |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4083466406250 = -1 · 2 · 3 · 58 · 7 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2233,89271] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:174:1] [1:302:1] |
Generators of the group modulo torsion |
j |
1230512292220679/4083466406250 |
j-invariant |
L |
5.980930320256 |
L(r)(E,1)/r! |
Ω |
0.55275321771589 |
Real period |
R |
2.7050635476037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810di3 |
Quadratic twists by: -3 |