Atkin-Lehner |
2- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39208d |
Isogeny class |
Conductor |
39208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13509504716032 = 28 · 137 · 292 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13351,566826] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1014:1] [-39:1014:1] |
Generators of the group modulo torsion |
j |
212992848/10933 |
j-invariant |
L |
7.1694445936833 |
L(r)(E,1)/r! |
Ω |
0.69762044540512 |
Real period |
R |
1.284624870319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78416a2 3016a2 |
Quadratic twists by: -4 13 |