Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975w |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-145586878872046875 = -1 · 33 · 56 · 177 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 1 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-154383,29649269] |
[a1,a2,a3,a4,a6] |
Generators |
[297:3175:1] |
Generators of the group modulo torsion |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
6.5745012265888 |
L(r)(E,1)/r! |
Ω |
0.30712947038996 |
Real period |
R |
3.567714303158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925v1 1479b1 |
Quadratic twists by: -3 5 |