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 |
69212000390625 = 36 · 58 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110938,14170406] |
[a1,a2,a3,a4,a6] |
Generators |
[74:2487:1] |
Generators of the group modulo torsion |
j |
9663733107639001/4429568025 |
j-invariant |
L |
2.7548199155011 |
L(r)(E,1)/r! |
Ω |
0.60767726865029 |
Real period |
R |
2.2666800764334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110925n2 7395j2 |
Quadratic twists by: -3 5 |