Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965r |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4911615966796875 = 32 · 512 · 76 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60639,-4659413] |
[a1,a2,a3,a4,a6] |
j |
209595169258201/41748046875 |
j-invariant |
L |
2.4677910427374 |
L(r)(E,1)/r! |
Ω |
0.30847388034217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bx3 69825v3 285c4 |
Quadratic twists by: -3 5 -7 |