Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975l |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
100563127271015625 = 312 · 57 · 174 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129063,9204156] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:3627:1] |
Generators of the group modulo torsion |
j |
15216303567263401/6436040145345 |
j-invariant |
L |
2.7548199155011 |
L(r)(E,1)/r! |
Ω |
0.30383863432515 |
Real period |
R |
1.1333400382167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925n3 7395j3 |
Quadratic twists by: -3 5 |