Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429p |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-4802270283979011 = -1 · 319 · 173 · 292 |
Discriminant |
Eigenvalues |
0 3- 1 -2 -3 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-88842,-10723851] |
[a1,a2,a3,a4,a6] |
Generators |
[2099:95134:1] |
Generators of the group modulo torsion |
j |
-21652318158848/1340825643 |
j-invariant |
L |
3.0331141006767 |
L(r)(E,1)/r! |
Ω |
0.13777204860609 |
Real period |
R |
1.3759658300129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143l1 75429c1 |
Quadratic twists by: -3 17 |