Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975x |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-670171875 = -1 · 3 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -3 -7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-433,3544] |
[a1,a2,a3,a4,a6] |
Generators |
[4:43:1] |
Generators of the group modulo torsion |
j |
-575930368/42891 |
j-invariant |
L |
3.8229195262162 |
L(r)(E,1)/r! |
Ω |
1.5849939091664 |
Real period |
R |
1.2059729391092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925w1 1479c1 |
Quadratic twists by: -3 5 |