Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75429v |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190944 |
Modular degree for the optimal curve |
Δ |
147474488060181 = 36 · 178 · 29 |
Discriminant |
Eigenvalues |
0 3- -1 1 2 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29478,1858342] |
[a1,a2,a3,a4,a6] |
Generators |
[578:2597:8] |
Generators of the group modulo torsion |
j |
557056/29 |
j-invariant |
L |
4.0715817535468 |
L(r)(E,1)/r! |
Ω |
0.57147175371103 |
Real period |
R |
1.187454943395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8381d1 75429n1 |
Quadratic twists by: -3 17 |