Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75429w |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-111987098529003 = -1 · 313 · 174 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 -1 4 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14360,-831810] |
[a1,a2,a3,a4,a6] |
Generators |
[200:1965:1] |
Generators of the group modulo torsion |
j |
-5378181625/1839267 |
j-invariant |
L |
3.5904922129058 |
L(r)(E,1)/r! |
Ω |
0.21436033641262 |
Real period |
R |
0.69790822634087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143j1 75429u1 |
Quadratic twists by: -3 17 |