Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965l |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3299851505475 = 310 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -6 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3725,2792] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:151:1] |
Generators of the group modulo torsion |
j |
48587168449/28048275 |
j-invariant |
L |
2.3197415571804 |
L(r)(E,1)/r! |
Ω |
0.67577360063648 |
Real period |
R |
1.7163600020743 |
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 |
41895z2 69825br2 285a2 |
Quadratic twists by: -3 5 -7 |