Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739r |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5523477125898699 = -1 · 36 · 115 · 196 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33573,-4288590] |
[a1,a2,a3,a4,a6] |
Generators |
[3762:73279:8] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
1.6218875000128 |
L(r)(E,1)/r! |
Ω |
0.16811087914063 |
Real period |
R |
4.8238624064747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971b2 99d2 |
Quadratic twists by: -3 -19 |