Atkin-Lehner |
2- 3- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34038l |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2525849676184896 = -1 · 26 · 36 · 316 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 3 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,26761,-1740913] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1318:1] |
Generators of the group modulo torsion |
j |
2907491221594583/3464814370624 |
j-invariant |
L |
6.416738016262 |
L(r)(E,1)/r! |
Ω |
0.24548425462965 |
Real period |
R |
3.2673877729668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3782b2 |
Quadratic twists by: -3 |