Atkin-Lehner |
3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429b |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-9317560247811 = -1 · 33 · 177 · 292 |
Discriminant |
Eigenvalues |
0 3+ 1 -4 1 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3468,124053] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:-4204:27] [17:-434:1] |
Generators of the group modulo torsion |
j |
7077888/14297 |
j-invariant |
L |
8.3365589505049 |
L(r)(E,1)/r! |
Ω |
0.50393588732539 |
Real period |
R |
1.0339309970147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429a1 4437a1 |
Quadratic twists by: -3 17 |